Finding the Third Proportional to 25,002 and 52,814.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,002 : 52,814.25 = 52,814.25 : x
2. Step 2: Convert to fraction form
   25,002/52,814.25 = 52,814.25/x
3. Step 3: Cross multiply
   25,002x = 52,814.25 × 52,814.25
4. Step 4: Simplify right side
   25,002x = 2,789,345,003.06
5. Step 5: Solve for x
   x = 2,789,345,003.06/25,002
6. Step 6: Final answer
   x = 111,564.87