Finding the Third Proportional to 32,022 and 69,786

Step by Step Solution

1. Step 1: Write the proportion equation
   32,022 : 69,786 = 69,786 : x
2. Step 2: Convert to fraction form
   32,022/69,786 = 69,786/x
3. Step 3: Cross multiply
   32,022x = 69,786 × 69,786
4. Step 4: Simplify right side
   32,022x = 4,870,085,796
5. Step 5: Solve for x
   x = 4,870,085,796/32,022
6. Step 6: Final answer
   x = 152,085.62