Finding the Third Proportional to 25,074 and 53,820

Step by Step Solution

1. Step 1: Write the proportion equation
   25,074 : 53,820 = 53,820 : x
2. Step 2: Convert to fraction form
   25,074/53,820 = 53,820/x
3. Step 3: Cross multiply
   25,074x = 53,820 × 53,820
4. Step 4: Simplify right side
   25,074x = 2,896,592,400
5. Step 5: Solve for x
   x = 2,896,592,400/25,074
6. Step 6: Final answer
   x = 115,521.75