Finding the Third Proportional to 32,761.50 and 77,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,761.50 : 77,011.50 = 77,011.50 : x
2. Step 2: Convert to fraction form
   32,761.50/77,011.50 = 77,011.50/x
3. Step 3: Cross multiply
   32,761.50x = 77,011.50 × 77,011.50
4. Step 4: Simplify right side
   32,761.50x = 5,930,771,132.25
5. Step 5: Solve for x
   x = 5,930,771,132.25/32,761.50
6. Step 6: Final answer
   x = 181,028.68