Finding the Third Proportional to 31,398 and 69,114

Step by Step Solution

1. Step 1: Write the proportion equation
   31,398 : 69,114 = 69,114 : x
2. Step 2: Convert to fraction form
   31,398/69,114 = 69,114/x
3. Step 3: Cross multiply
   31,398x = 69,114 × 69,114
4. Step 4: Simplify right side
   31,398x = 4,776,744,996
5. Step 5: Solve for x
   x = 4,776,744,996/31,398
6. Step 6: Final answer
   x = 152,135.33