Finding the Third Proportional to 31,542.75 and 69,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,542.75 : 69,646.50 = 69,646.50 : x
2. Step 2: Convert to fraction form
   31,542.75/69,646.50 = 69,646.50/x
3. Step 3: Cross multiply
   31,542.75x = 69,646.50 × 69,646.50
4. Step 4: Simplify right side
   31,542.75x = 4,850,634,962.25
5. Step 5: Solve for x
   x = 4,850,634,962.25/31,542.75
6. Step 6: Final answer
   x = 153,779.71