Finding the Third Proportional to 31,666.50 and 69,608.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,666.50 : 69,608.25 = 69,608.25 : x
2. Step 2: Convert to fraction form
   31,666.50/69,608.25 = 69,608.25/x
3. Step 3: Cross multiply
   31,666.50x = 69,608.25 × 69,608.25
4. Step 4: Simplify right side
   31,666.50x = 4,845,308,468.06
5. Step 5: Solve for x
   x = 4,845,308,468.06/31,666.50
6. Step 6: Final answer
   x = 153,010.55