Finding the Third Proportional to 25,250 and 53,111

Step by Step Solution

1. Step 1: Write the proportion equation
   25,250 : 53,111 = 53,111 : x
2. Step 2: Convert to fraction form
   25,250/53,111 = 53,111/x
3. Step 3: Cross multiply
   25,250x = 53,111 × 53,111
4. Step 4: Simplify right side
   25,250x = 2,820,778,321
5. Step 5: Solve for x
   x = 2,820,778,321/25,250
6. Step 6: Final answer
   x = 111,713.99