Finding the Third Proportional to 25,598 and 52,492

Step by Step Solution

1. Step 1: Write the proportion equation
   25,598 : 52,492 = 52,492 : x
2. Step 2: Convert to fraction form
   25,598/52,492 = 52,492/x
3. Step 3: Cross multiply
   25,598x = 52,492 × 52,492
4. Step 4: Simplify right side
   25,598x = 2,755,410,064
5. Step 5: Solve for x
   x = 2,755,410,064/25,598
6. Step 6: Final answer
   x = 107,641.62