Finding the Third Proportional to 9,762 and 13,140

Step by Step Solution

1. Step 1: Write the proportion equation
   9,762 : 13,140 = 13,140 : x
2. Step 2: Convert to fraction form
   9,762/13,140 = 13,140/x
3. Step 3: Cross multiply
   9,762x = 13,140 × 13,140
4. Step 4: Simplify right side
   9,762x = 172,659,600
5. Step 5: Solve for x
   x = 172,659,600/9,762
6. Step 6: Final answer
   x = 17,686.91