Finding the Third Proportional to 37,490.50 and 81,211.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,490.50 : 81,211.50 = 81,211.50 : x
2. Step 2: Convert to fraction form
   37,490.50/81,211.50 = 81,211.50/x
3. Step 3: Cross multiply
   37,490.50x = 81,211.50 × 81,211.50
4. Step 4: Simplify right side
   37,490.50x = 6,595,307,732.25
5. Step 5: Solve for x
   x = 6,595,307,732.25/37,490.50
6. Step 6: Final answer
   x = 175,919.44