Finding the Third Proportional to 25,261 and 53,140

Step by Step Solution

1. Step 1: Write the proportion equation
   25,261 : 53,140 = 53,140 : x
2. Step 2: Convert to fraction form
   25,261/53,140 = 53,140/x
3. Step 3: Cross multiply
   25,261x = 53,140 × 53,140
4. Step 4: Simplify right side
   25,261x = 2,823,859,600
5. Step 5: Solve for x
   x = 2,823,859,600/25,261
6. Step 6: Final answer
   x = 111,787.32