Finding the Third Proportional to 31,810 and 67,833

Step by Step Solution

1. Step 1: Write the proportion equation
   31,810 : 67,833 = 67,833 : x
2. Step 2: Convert to fraction form
   31,810/67,833 = 67,833/x
3. Step 3: Cross multiply
   31,810x = 67,833 × 67,833
4. Step 4: Simplify right side
   31,810x = 4,601,315,889
5. Step 5: Solve for x
   x = 4,601,315,889/31,810
6. Step 6: Final answer
   x = 144,649.98