Finding the Third Proportional to 25,641 and 56,328

Step by Step Solution

1. Step 1: Write the proportion equation
   25,641 : 56,328 = 56,328 : x
2. Step 2: Convert to fraction form
   25,641/56,328 = 56,328/x
3. Step 3: Cross multiply
   25,641x = 56,328 × 56,328
4. Step 4: Simplify right side
   25,641x = 3,172,843,584
5. Step 5: Solve for x
   x = 3,172,843,584/25,641
6. Step 6: Final answer
   x = 123,741.02