Finding the Third Proportional to 25,753 and 53,160

Step by Step Solution

1. Step 1: Write the proportion equation
   25,753 : 53,160 = 53,160 : x
2. Step 2: Convert to fraction form
   25,753/53,160 = 53,160/x
3. Step 3: Cross multiply
   25,753x = 53,160 × 53,160
4. Step 4: Simplify right side
   25,753x = 2,825,985,600
5. Step 5: Solve for x
   x = 2,825,985,600/25,753
6. Step 6: Final answer
   x = 109,734.23