Finding the Third Proportional to 2,632.50 and 3,493.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,632.50 : 3,493.76 = 3,493.76 : x
2. Step 2: Convert to fraction form
   2,632.50/3,493.76 = 3,493.76/x
3. Step 3: Cross multiply
   2,632.50x = 3,493.76 × 3,493.76
4. Step 4: Simplify right side
   2,632.50x = 12,206,343.65
5. Step 5: Solve for x
   x = 12,206,343.65/2,632.50
6. Step 6: Final answer
   x = 4,636.79