Finding the Third Proportional to 978.94 and 1,575.56

Step by Step Solution

1. Step 1: Write the proportion equation
   978.94 : 1,575.56 = 1,575.56 : x
2. Step 2: Convert to fraction form
   978.94/1,575.56 = 1,575.56/x
3. Step 3: Cross multiply
   978.94x = 1,575.56 × 1,575.56
4. Step 4: Simplify right side
   978.94x = 2,482,397.19
5. Step 5: Solve for x
   x = 2,482,397.19/978.94
6. Step 6: Final answer
   x = 2,535.81