Finding the Third Proportional to 31,356 and 67,083

Step by Step Solution

1. Step 1: Write the proportion equation
   31,356 : 67,083 = 67,083 : x
2. Step 2: Convert to fraction form
   31,356/67,083 = 67,083/x
3. Step 3: Cross multiply
   31,356x = 67,083 × 67,083
4. Step 4: Simplify right side
   31,356x = 4,500,128,889
5. Step 5: Solve for x
   x = 4,500,128,889/31,356
6. Step 6: Final answer
   x = 143,517.31