Finding the Third Proportional to 25,648 and 52,572

Step by Step Solution

1. Step 1: Write the proportion equation
   25,648 : 52,572 = 52,572 : x
2. Step 2: Convert to fraction form
   25,648/52,572 = 52,572/x
3. Step 3: Cross multiply
   25,648x = 52,572 × 52,572
4. Step 4: Simplify right side
   25,648x = 2,763,815,184
5. Step 5: Solve for x
   x = 2,763,815,184/25,648
6. Step 6: Final answer
   x = 107,759.48