Finding the Third Proportional to 33,116 and 67,690

Step by Step Solution

1. Step 1: Write the proportion equation
   33,116 : 67,690 = 67,690 : x
2. Step 2: Convert to fraction form
   33,116/67,690 = 67,690/x
3. Step 3: Cross multiply
   33,116x = 67,690 × 67,690
4. Step 4: Simplify right side
   33,116x = 4,581,936,100
5. Step 5: Solve for x
   x = 4,581,936,100/33,116
6. Step 6: Final answer
   x = 138,360.19