Finding the Third Proportional to 2,077.50 and 2,798.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.50 : 2,798.63 = 2,798.63 : x
2. Step 2: Convert to fraction form
   2,077.50/2,798.63 = 2,798.63/x
3. Step 3: Cross multiply
   2,077.50x = 2,798.63 × 2,798.63
4. Step 4: Simplify right side
   2,077.50x = 7,832,301.89
5. Step 5: Solve for x
   x = 7,832,301.89/2,077.50
6. Step 6: Final answer
   x = 3,770.06