Finding the Third Proportional to 25,620 and 52,516

Step by Step Solution

1. Step 1: Write the proportion equation
   25,620 : 52,516 = 52,516 : x
2. Step 2: Convert to fraction form
   25,620/52,516 = 52,516/x
3. Step 3: Cross multiply
   25,620x = 52,516 × 52,516
4. Step 4: Simplify right side
   25,620x = 2,757,930,256
5. Step 5: Solve for x
   x = 2,757,930,256/25,620
6. Step 6: Final answer
   x = 107,647.55