Finding the Third Proportional to 25,913 and 56,506

Step by Step Solution

1. Step 1: Write the proportion equation
   25,913 : 56,506 = 56,506 : x
2. Step 2: Convert to fraction form
   25,913/56,506 = 56,506/x
3. Step 3: Cross multiply
   25,913x = 56,506 × 56,506
4. Step 4: Simplify right side
   25,913x = 3,192,928,036
5. Step 5: Solve for x
   x = 3,192,928,036/25,913
6. Step 6: Final answer
   x = 123,217.23