Finding the Third Proportional to 2,102 and 2,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,102 : 2,734.50 = 2,734.50 : x
2. Step 2: Convert to fraction form
   2,102/2,734.50 = 2,734.50/x
3. Step 3: Cross multiply
   2,102x = 2,734.50 × 2,734.50
4. Step 4: Simplify right side
   2,102x = 7,477,490.25
5. Step 5: Solve for x
   x = 7,477,490.25/2,102
6. Step 6: Final answer
   x = 3,557.32