Finding the Third Proportional to 25,623 and 52,521.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,623 : 52,521.75 = 52,521.75 : x
2. Step 2: Convert to fraction form
   25,623/52,521.75 = 52,521.75/x
3. Step 3: Cross multiply
   25,623x = 52,521.75 × 52,521.75
4. Step 4: Simplify right side
   25,623x = 2,758,534,223.06
5. Step 5: Solve for x
   x = 2,758,534,223.06/25,623
6. Step 6: Final answer
   x = 107,658.52