Finding the Third Proportional to 39,467.25 and 81,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,467.25 : 81,742.50 = 81,742.50 : x
2. Step 2: Convert to fraction form
   39,467.25/81,742.50 = 81,742.50/x
3. Step 3: Cross multiply
   39,467.25x = 81,742.50 × 81,742.50
4. Step 4: Simplify right side
   39,467.25x = 6,681,836,306.25
5. Step 5: Solve for x
   x = 6,681,836,306.25/39,467.25
6. Step 6: Final answer
   x = 169,300.78