Finding the Third Proportional to 31,294.69 and 69,586.17

Step by Step Solution

1. Step 1: Write the proportion equation
   31,294.69 : 69,586.17 = 69,586.17 : x
2. Step 2: Convert to fraction form
   31,294.69/69,586.17 = 69,586.17/x
3. Step 3: Cross multiply
   31,294.69x = 69,586.17 × 69,586.17
4. Step 4: Simplify right side
   31,294.69x = 4,842,235,316.22
5. Step 5: Solve for x
   x = 4,842,235,316.22/31,294.69
6. Step 6: Final answer
   x = 154,730.27