Finding the Third Proportional to 33,117 and 71,878

Step by Step Solution

1. Step 1: Write the proportion equation
   33,117 : 71,878 = 71,878 : x
2. Step 2: Convert to fraction form
   33,117/71,878 = 71,878/x
3. Step 3: Cross multiply
   33,117x = 71,878 × 71,878
4. Step 4: Simplify right side
   33,117x = 5,166,446,884
5. Step 5: Solve for x
   x = 5,166,446,884/33,117
6. Step 6: Final answer
   x = 156,005.88