Finding the Third Proportional to 10,690.50 and 23,688

Step by Step Solution

1. Step 1: Write the proportion equation
   10,690.50 : 23,688 = 23,688 : x
2. Step 2: Convert to fraction form
   10,690.50/23,688 = 23,688/x
3. Step 3: Cross multiply
   10,690.50x = 23,688 × 23,688
4. Step 4: Simplify right side
   10,690.50x = 561,121,344
5. Step 5: Solve for x
   x = 561,121,344/10,690.50
6. Step 6: Final answer
   x = 52,487.85