Finding the Third Proportional to 10,616 and 17,688

Step by Step Solution

1. Step 1: Write the proportion equation
   10,616 : 17,688 = 17,688 : x
2. Step 2: Convert to fraction form
   10,616/17,688 = 17,688/x
3. Step 3: Cross multiply
   10,616x = 17,688 × 17,688
4. Step 4: Simplify right side
   10,616x = 312,865,344
5. Step 5: Solve for x
   x = 312,865,344/10,616
6. Step 6: Final answer
   x = 29,471.11