Finding the Third Proportional to 11,594 and 25,492

Step by Step Solution

1. Step 1: Write the proportion equation
   11,594 : 25,492 = 25,492 : x
2. Step 2: Convert to fraction form
   11,594/25,492 = 25,492/x
3. Step 3: Cross multiply
   11,594x = 25,492 × 25,492
4. Step 4: Simplify right side
   11,594x = 649,842,064
5. Step 5: Solve for x
   x = 649,842,064/11,594
6. Step 6: Final answer
   x = 56,049.86