Finding the Third Proportional to 25,598 and 52,460

Step by Step Solution

1. Step 1: Write the proportion equation
   25,598 : 52,460 = 52,460 : x
2. Step 2: Convert to fraction form
   25,598/52,460 = 52,460/x
3. Step 3: Cross multiply
   25,598x = 52,460 × 52,460
4. Step 4: Simplify right side
   25,598x = 2,752,051,600
5. Step 5: Solve for x
   x = 2,752,051,600/25,598
6. Step 6: Final answer
   x = 107,510.41