Finding the Third Proportional to 37,740,916.50 and 82,548,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,740,916.50 : 82,548,016.50 = 82,548,016.50 : x
2. Step 2: Convert to fraction form
   37,740,916.50/82,548,016.50 = 82,548,016.50/x
3. Step 3: Cross multiply
   37,740,916.50x = 82,548,016.50 × 82,548,016.50
4. Step 4: Simplify right side
   37,740,916.50x = 6,814,175,028,084,272
5. Step 5: Solve for x
   x = 6,814,175,028,084,272/37,740,916.50
6. Step 6: Final answer
   x = 180,551,392.49