Finding the Third Proportional to 1,912.50 and 2,796.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,912.50 : 2,796.38 = 2,796.38 : x
2. Step 2: Convert to fraction form
   1,912.50/2,796.38 = 2,796.38/x
3. Step 3: Cross multiply
   1,912.50x = 2,796.38 × 2,796.38
4. Step 4: Simplify right side
   1,912.50x = 7,819,713.14
5. Step 5: Solve for x
   x = 7,819,713.14/1,912.50
6. Step 6: Final answer
   x = 4,088.74