Finding the Third Proportional to 33,208 and 71,948

Step by Step Solution

1. Step 1: Write the proportion equation
   33,208 : 71,948 = 71,948 : x
2. Step 2: Convert to fraction form
   33,208/71,948 = 71,948/x
3. Step 3: Cross multiply
   33,208x = 71,948 × 71,948
4. Step 4: Simplify right side
   33,208x = 5,176,514,704
5. Step 5: Solve for x
   x = 5,176,514,704/33,208
6. Step 6: Final answer
   x = 155,881.56