Finding the Third Proportional to 32,158.50 and 66,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,158.50 : 66,742.50 = 66,742.50 : x
2. Step 2: Convert to fraction form
   32,158.50/66,742.50 = 66,742.50/x
3. Step 3: Cross multiply
   32,158.50x = 66,742.50 × 66,742.50
4. Step 4: Simplify right side
   32,158.50x = 4,454,561,306.25
5. Step 5: Solve for x
   x = 4,454,561,306.25/32,158.50
6. Step 6: Final answer
   x = 138,518.94