Finding the Third Proportional to 25,748 and 53,150

Step by Step Solution

1. Step 1: Write the proportion equation
   25,748 : 53,150 = 53,150 : x
2. Step 2: Convert to fraction form
   25,748/53,150 = 53,150/x
3. Step 3: Cross multiply
   25,748x = 53,150 × 53,150
4. Step 4: Simplify right side
   25,748x = 2,824,922,500
5. Step 5: Solve for x
   x = 2,824,922,500/25,748
6. Step 6: Final answer
   x = 109,714.25