Finding the Third Proportional to 13,178 and 31,499

Step by Step Solution

1. Step 1: Write the proportion equation
   13,178 : 31,499 = 31,499 : x
2. Step 2: Convert to fraction form
   13,178/31,499 = 31,499/x
3. Step 3: Cross multiply
   13,178x = 31,499 × 31,499
4. Step 4: Simplify right side
   13,178x = 992,187,001
5. Step 5: Solve for x
   x = 992,187,001/13,178
6. Step 6: Final answer
   x = 75,291.17