Finding the Third Proportional to 25,570 and 55,298

Step by Step Solution

1. Step 1: Write the proportion equation
   25,570 : 55,298 = 55,298 : x
2. Step 2: Convert to fraction form
   25,570/55,298 = 55,298/x
3. Step 3: Cross multiply
   25,570x = 55,298 × 55,298
4. Step 4: Simplify right side
   25,570x = 3,057,868,804
5. Step 5: Solve for x
   x = 3,057,868,804/25,570
6. Step 6: Final answer
   x = 119,588.14