Finding the Third Proportional to 1,024.88 and 1,384.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.88 : 1,384.88 = 1,384.88 : x
2. Step 2: Convert to fraction form
   1,024.88/1,384.88 = 1,384.88/x
3. Step 3: Cross multiply
   1,024.88x = 1,384.88 × 1,384.88
4. Step 4: Simplify right side
   1,024.88x = 1,917,878.77
5. Step 5: Solve for x
   x = 1,917,878.77/1,024.88
6. Step 6: Final answer
   x = 1,871.33