Finding the Third Proportional to 32,082 and 69,986

Step by Step Solution

1. Step 1: Write the proportion equation
   32,082 : 69,986 = 69,986 : x
2. Step 2: Convert to fraction form
   32,082/69,986 = 69,986/x
3. Step 3: Cross multiply
   32,082x = 69,986 × 69,986
4. Step 4: Simplify right side
   32,082x = 4,898,040,196
5. Step 5: Solve for x
   x = 4,898,040,196/32,082
6. Step 6: Final answer
   x = 152,672.53