Finding the Third Proportional to 1,693.75 and 2,002.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,693.75 : 2,002.75 = 2,002.75 : x
2. Step 2: Convert to fraction form
   1,693.75/2,002.75 = 2,002.75/x
3. Step 3: Cross multiply
   1,693.75x = 2,002.75 × 2,002.75
4. Step 4: Simplify right side
   1,693.75x = 4,011,007.56
5. Step 5: Solve for x
   x = 4,011,007.56/1,693.75
6. Step 6: Final answer
   x = 2,368.12