Finding the Third Proportional to 47,578.50 and 71,091

Step by Step Solution

1. Step 1: Write the proportion equation
   47,578.50 : 71,091 = 71,091 : x
2. Step 2: Convert to fraction form
   47,578.50/71,091 = 71,091/x
3. Step 3: Cross multiply
   47,578.50x = 71,091 × 71,091
4. Step 4: Simplify right side
   47,578.50x = 5,053,930,281
5. Step 5: Solve for x
   x = 5,053,930,281/47,578.50
6. Step 6: Final answer
   x = 106,222.98