Finding the Third Proportional to 11,522 and 12,746

Step by Step Solution

1. Step 1: Write the proportion equation
   11,522 : 12,746 = 12,746 : x
2. Step 2: Convert to fraction form
   11,522/12,746 = 12,746/x
3. Step 3: Cross multiply
   11,522x = 12,746 × 12,746
4. Step 4: Simplify right side
   11,522x = 162,460,516
5. Step 5: Solve for x
   x = 162,460,516/11,522
6. Step 6: Final answer
   x = 14,100.03