Finding the Third Proportional to 23,264 and 51,688

Step by Step Solution

1. Step 1: Write the proportion equation
   23,264 : 51,688 = 51,688 : x
2. Step 2: Convert to fraction form
   23,264/51,688 = 51,688/x
3. Step 3: Cross multiply
   23,264x = 51,688 × 51,688
4. Step 4: Simplify right side
   23,264x = 2,671,649,344
5. Step 5: Solve for x
   x = 2,671,649,344/23,264
6. Step 6: Final answer
   x = 114,840.50