Finding the Third Proportional to 31,530 and 69,202.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,530 : 69,202.50 = 69,202.50 : x
2. Step 2: Convert to fraction form
   31,530/69,202.50 = 69,202.50/x
3. Step 3: Cross multiply
   31,530x = 69,202.50 × 69,202.50
4. Step 4: Simplify right side
   31,530x = 4,788,986,006.25
5. Step 5: Solve for x
   x = 4,788,986,006.25/31,530
6. Step 6: Final answer
   x = 151,886.65