Finding the Third Proportional to 25,160 and 53,776

Step by Step Solution

1. Step 1: Write the proportion equation
   25,160 : 53,776 = 53,776 : x
2. Step 2: Convert to fraction form
   25,160/53,776 = 53,776/x
3. Step 3: Cross multiply
   25,160x = 53,776 × 53,776
4. Step 4: Simplify right side
   25,160x = 2,891,858,176
5. Step 5: Solve for x
   x = 2,891,858,176/25,160
6. Step 6: Final answer
   x = 114,938.72