Finding the Third Proportional to 31,774 and 69,082

Step by Step Solution

1. Step 1: Write the proportion equation
   31,774 : 69,082 = 69,082 : x
2. Step 2: Convert to fraction form
   31,774/69,082 = 69,082/x
3. Step 3: Cross multiply
   31,774x = 69,082 × 69,082
4. Step 4: Simplify right side
   31,774x = 4,772,322,724
5. Step 5: Solve for x
   x = 4,772,322,724/31,774
6. Step 6: Final answer
   x = 150,195.84