Finding the Third Proportional to 25,600 and 52,496

Step by Step Solution

1. Step 1: Write the proportion equation
   25,600 : 52,496 = 52,496 : x
2. Step 2: Convert to fraction form
   25,600/52,496 = 52,496/x
3. Step 3: Cross multiply
   25,600x = 52,496 × 52,496
4. Step 4: Simplify right side
   25,600x = 2,755,830,016
5. Step 5: Solve for x
   x = 2,755,830,016/25,600
6. Step 6: Final answer
   x = 107,649.61