Finding the Third Proportional to 31,688 and 69,424

Step by Step Solution

1. Step 1: Write the proportion equation
   31,688 : 69,424 = 69,424 : x
2. Step 2: Convert to fraction form
   31,688/69,424 = 69,424/x
3. Step 3: Cross multiply
   31,688x = 69,424 × 69,424
4. Step 4: Simplify right side
   31,688x = 4,819,691,776
5. Step 5: Solve for x
   x = 4,819,691,776/31,688
6. Step 6: Final answer
   x = 152,098.33