Finding the Third Proportional to 25,662 and 59,619

Step by Step Solution

1. Step 1: Write the proportion equation
   25,662 : 59,619 = 59,619 : x
2. Step 2: Convert to fraction form
   25,662/59,619 = 59,619/x
3. Step 3: Cross multiply
   25,662x = 59,619 × 59,619
4. Step 4: Simplify right side
   25,662x = 3,554,425,161
5. Step 5: Solve for x
   x = 3,554,425,161/25,662
6. Step 6: Final answer
   x = 138,509.28