Finding the Third Proportional to 10,260 and 24,786

Step by Step Solution

1. Step 1: Write the proportion equation
   10,260 : 24,786 = 24,786 : x
2. Step 2: Convert to fraction form
   10,260/24,786 = 24,786/x
3. Step 3: Cross multiply
   10,260x = 24,786 × 24,786
4. Step 4: Simplify right side
   10,260x = 614,345,796
5. Step 5: Solve for x
   x = 614,345,796/10,260
6. Step 6: Final answer
   x = 59,877.76