Finding the Third Proportional to 31,833 and 69,142

Step by Step Solution

1. Step 1: Write the proportion equation
   31,833 : 69,142 = 69,142 : x
2. Step 2: Convert to fraction form
   31,833/69,142 = 69,142/x
3. Step 3: Cross multiply
   31,833x = 69,142 × 69,142
4. Step 4: Simplify right side
   31,833x = 4,780,616,164
5. Step 5: Solve for x
   x = 4,780,616,164/31,833
6. Step 6: Final answer
   x = 150,178.00