Finding the Third Proportional to 25,128 and 59,364

Step by Step Solution

1. Step 1: Write the proportion equation
   25,128 : 59,364 = 59,364 : x
2. Step 2: Convert to fraction form
   25,128/59,364 = 59,364/x
3. Step 3: Cross multiply
   25,128x = 59,364 × 59,364
4. Step 4: Simplify right side
   25,128x = 3,524,084,496
5. Step 5: Solve for x
   x = 3,524,084,496/25,128
6. Step 6: Final answer
   x = 140,245.32