Finding the Third Proportional to 1,002 and 1,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002 : 1,705.50 = 1,705.50 : x
2. Step 2: Convert to fraction form
   1,002/1,705.50 = 1,705.50/x
3. Step 3: Cross multiply
   1,002x = 1,705.50 × 1,705.50
4. Step 4: Simplify right side
   1,002x = 2,908,730.25
5. Step 5: Solve for x
   x = 2,908,730.25/1,002
6. Step 6: Final answer
   x = 2,902.92