Finding the Third Proportional to 10,688 and 12,536

Step by Step Solution

1. Step 1: Write the proportion equation
   10,688 : 12,536 = 12,536 : x
2. Step 2: Convert to fraction form
   10,688/12,536 = 12,536/x
3. Step 3: Cross multiply
   10,688x = 12,536 × 12,536
4. Step 4: Simplify right side
   10,688x = 157,151,296
5. Step 5: Solve for x
   x = 157,151,296/10,688
6. Step 6: Final answer
   x = 14,703.53