Finding the Third Proportional to 37,405.50 and 80,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,405.50 : 80,290.50 = 80,290.50 : x
2. Step 2: Convert to fraction form
   37,405.50/80,290.50 = 80,290.50/x
3. Step 3: Cross multiply
   37,405.50x = 80,290.50 × 80,290.50
4. Step 4: Simplify right side
   37,405.50x = 6,446,564,390.25
5. Step 5: Solve for x
   x = 6,446,564,390.25/37,405.50
6. Step 6: Final answer
   x = 172,342.69