Finding the Third Proportional to 31,678.50 and 69,182.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,678.50 : 69,182.25 = 69,182.25 : x
2. Step 2: Convert to fraction form
   31,678.50/69,182.25 = 69,182.25/x
3. Step 3: Cross multiply
   31,678.50x = 69,182.25 × 69,182.25
4. Step 4: Simplify right side
   31,678.50x = 4,786,183,715.06
5. Step 5: Solve for x
   x = 4,786,183,715.06/31,678.50
6. Step 6: Final answer
   x = 151,086.19