Finding the Third Proportional to 11,384 and 12,572

Step by Step Solution

1. Step 1: Write the proportion equation
   11,384 : 12,572 = 12,572 : x
2. Step 2: Convert to fraction form
   11,384/12,572 = 12,572/x
3. Step 3: Cross multiply
   11,384x = 12,572 × 12,572
4. Step 4: Simplify right side
   11,384x = 158,055,184
5. Step 5: Solve for x
   x = 158,055,184/11,384
6. Step 6: Final answer
   x = 13,883.98