Finding the Third Proportional to 14,100 and 32,786

Step by Step Solution

1. Step 1: Write the proportion equation
   14,100 : 32,786 = 32,786 : x
2. Step 2: Convert to fraction form
   14,100/32,786 = 32,786/x
3. Step 3: Cross multiply
   14,100x = 32,786 × 32,786
4. Step 4: Simplify right side
   14,100x = 1,074,921,796
5. Step 5: Solve for x
   x = 1,074,921,796/14,100
6. Step 6: Final answer
   x = 76,235.59