Finding the Third Proportional to 1,148.06 and 1,525.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.06 : 1,525.78 = 1,525.78 : x
2. Step 2: Convert to fraction form
   1,148.06/1,525.78 = 1,525.78/x
3. Step 3: Cross multiply
   1,148.06x = 1,525.78 × 1,525.78
4. Step 4: Simplify right side
   1,148.06x = 2,328,008.42
5. Step 5: Solve for x
   x = 2,328,008.42/1,148.06
6. Step 6: Final answer
   x = 2,027.77