Finding the Third Proportional to 13,002 and 31,446

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002 : 31,446 = 31,446 : x
2. Step 2: Convert to fraction form
   13,002/31,446 = 31,446/x
3. Step 3: Cross multiply
   13,002x = 31,446 × 31,446
4. Step 4: Simplify right side
   13,002x = 988,850,916
5. Step 5: Solve for x
   x = 988,850,916/13,002
6. Step 6: Final answer
   x = 76,053.75