Finding the Third Proportional to 12,040 and 13,264

Step by Step Solution

1. Step 1: Write the proportion equation
   12,040 : 13,264 = 13,264 : x
2. Step 2: Convert to fraction form
   12,040/13,264 = 13,264/x
3. Step 3: Cross multiply
   12,040x = 13,264 × 13,264
4. Step 4: Simplify right side
   12,040x = 175,933,696
5. Step 5: Solve for x
   x = 175,933,696/12,040
6. Step 6: Final answer
   x = 14,612.43