Finding the Third Proportional to 1,200.38 and 1,924.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.38 : 1,924.59 = 1,924.59 : x
2. Step 2: Convert to fraction form
   1,200.38/1,924.59 = 1,924.59/x
3. Step 3: Cross multiply
   1,200.38x = 1,924.59 × 1,924.59
4. Step 4: Simplify right side
   1,200.38x = 3,704,061.10
5. Step 5: Solve for x
   x = 3,704,061.10/1,200.38
6. Step 6: Final answer
   x = 3,085.75