Finding the Third Proportional to 2,632.50 and 2,980.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,632.50 : 2,980.55 = 2,980.55 : x
2. Step 2: Convert to fraction form
   2,632.50/2,980.55 = 2,980.55/x
3. Step 3: Cross multiply
   2,632.50x = 2,980.55 × 2,980.55
4. Step 4: Simplify right side
   2,632.50x = 8,883,659.67
5. Step 5: Solve for x
   x = 8,883,659.67/2,632.50
6. Step 6: Final answer
   x = 3,374.61