Finding the Third Proportional to 10,644 and 25,114

Step by Step Solution

1. Step 1: Write the proportion equation
   10,644 : 25,114 = 25,114 : x
2. Step 2: Convert to fraction form
   10,644/25,114 = 25,114/x
3. Step 3: Cross multiply
   10,644x = 25,114 × 25,114
4. Step 4: Simplify right side
   10,644x = 630,712,996
5. Step 5: Solve for x
   x = 630,712,996/10,644
6. Step 6: Final answer
   x = 59,255.26