Finding the Third Proportional to 10,626 and 25,215

Step by Step Solution

1. Step 1: Write the proportion equation
   10,626 : 25,215 = 25,215 : x
2. Step 2: Convert to fraction form
   10,626/25,215 = 25,215/x
3. Step 3: Cross multiply
   10,626x = 25,215 × 25,215
4. Step 4: Simplify right side
   10,626x = 635,796,225
5. Step 5: Solve for x
   x = 635,796,225/10,626
6. Step 6: Final answer
   x = 59,834.01