Finding the Third Proportional to 17,594 and 25,814

Step by Step Solution

1. Step 1: Write the proportion equation
   17,594 : 25,814 = 25,814 : x
2. Step 2: Convert to fraction form
   17,594/25,814 = 25,814/x
3. Step 3: Cross multiply
   17,594x = 25,814 × 25,814
4. Step 4: Simplify right side
   17,594x = 666,362,596
5. Step 5: Solve for x
   x = 666,362,596/17,594
6. Step 6: Final answer
   x = 37,874.42