Finding the Third Proportional to 25,562 and 56,199

Step by Step Solution

1. Step 1: Write the proportion equation
   25,562 : 56,199 = 56,199 : x
2. Step 2: Convert to fraction form
   25,562/56,199 = 56,199/x
3. Step 3: Cross multiply
   25,562x = 56,199 × 56,199
4. Step 4: Simplify right side
   25,562x = 3,158,327,601
5. Step 5: Solve for x
   x = 3,158,327,601/25,562
6. Step 6: Final answer
   x = 123,555.57