Finding the Third Proportional to 14,526 and 25,620

Step by Step Solution

1. Step 1: Write the proportion equation
   14,526 : 25,620 = 25,620 : x
2. Step 2: Convert to fraction form
   14,526/25,620 = 25,620/x
3. Step 3: Cross multiply
   14,526x = 25,620 × 25,620
4. Step 4: Simplify right side
   14,526x = 656,384,400
5. Step 5: Solve for x
   x = 656,384,400/14,526
6. Step 6: Final answer
   x = 45,186.86