Finding the Third Proportional to 2,377.50 and 3,478.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.50 : 3,478.22 = 3,478.22 : x
2. Step 2: Convert to fraction form
   2,377.50/3,478.22 = 3,478.22/x
3. Step 3: Cross multiply
   2,377.50x = 3,478.22 × 3,478.22
4. Step 4: Simplify right side
   2,377.50x = 12,098,005.67
5. Step 5: Solve for x
   x = 12,098,005.67/2,377.50
6. Step 6: Final answer
   x = 5,088.54