Finding the Third Proportional to 13,166 and 31,478

Step by Step Solution

1. Step 1: Write the proportion equation
   13,166 : 31,478 = 31,478 : x
2. Step 2: Convert to fraction form
   13,166/31,478 = 31,478/x
3. Step 3: Cross multiply
   13,166x = 31,478 × 31,478
4. Step 4: Simplify right side
   13,166x = 990,864,484
5. Step 5: Solve for x
   x = 990,864,484/13,166
6. Step 6: Final answer
   x = 75,259.34