Finding the Third Proportional to 23,916 and 52,269

Step by Step Solution

1. Step 1: Write the proportion equation
   23,916 : 52,269 = 52,269 : x
2. Step 2: Convert to fraction form
   23,916/52,269 = 52,269/x
3. Step 3: Cross multiply
   23,916x = 52,269 × 52,269
4. Step 4: Simplify right side
   23,916x = 2,732,048,361
5. Step 5: Solve for x
   x = 2,732,048,361/23,916
6. Step 6: Final answer
   x = 114,235.17