Finding the Third Proportional to 32,080.50 and 77,285.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32,080.50 : 77,285.25 = 77,285.25 : x
2. Step 2: Convert to fraction form
   32,080.50/77,285.25 = 77,285.25/x
3. Step 3: Cross multiply
   32,080.50x = 77,285.25 × 77,285.25
4. Step 4: Simplify right side
   32,080.50x = 5,973,009,867.56
5. Step 5: Solve for x
   x = 5,973,009,867.56/32,080.50
6. Step 6: Final answer
   x = 186,188.18