Finding the Third Proportional to 1,052 and 2,285.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,052 : 2,285.50 = 2,285.50 : x
2. Step 2: Convert to fraction form
   1,052/2,285.50 = 2,285.50/x
3. Step 3: Cross multiply
   1,052x = 2,285.50 × 2,285.50
4. Step 4: Simplify right side
   1,052x = 5,223,510.25
5. Step 5: Solve for x
   x = 5,223,510.25/1,052
6. Step 6: Final answer
   x = 4,965.31