Finding the Third Proportional to 32,202.75 and 69,166.88

Step by Step Solution

1. Step 1: Write the proportion equation
   32,202.75 : 69,166.88 = 69,166.88 : x
2. Step 2: Convert to fraction form
   32,202.75/69,166.88 = 69,166.88/x
3. Step 3: Cross multiply
   32,202.75x = 69,166.88 × 69,166.88
4. Step 4: Simplify right side
   32,202.75x = 4,784,056,597.27
5. Step 5: Solve for x
   x = 4,784,056,597.27/32,202.75
6. Step 6: Final answer
   x = 148,560.50