Finding the Third Proportional to 31,538 and 69,124

Step by Step Solution

1. Step 1: Write the proportion equation
   31,538 : 69,124 = 69,124 : x
2. Step 2: Convert to fraction form
   31,538/69,124 = 69,124/x
3. Step 3: Cross multiply
   31,538x = 69,124 × 69,124
4. Step 4: Simplify right side
   31,538x = 4,778,127,376
5. Step 5: Solve for x
   x = 4,778,127,376/31,538
6. Step 6: Final answer
   x = 151,503.82