Finding the Third Proportional to 25,478.25 and 52,089.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,478.25 : 52,089.75 = 52,089.75 : x
2. Step 2: Convert to fraction form
   25,478.25/52,089.75 = 52,089.75/x
3. Step 3: Cross multiply
   25,478.25x = 52,089.75 × 52,089.75
4. Step 4: Simplify right side
   25,478.25x = 2,713,342,055.06
5. Step 5: Solve for x
   x = 2,713,342,055.06/25,478.25
6. Step 6: Final answer
   x = 106,496.41