Finding the Third Proportional to 2,130.50 and 3,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,130.50 : 3,734.50 = 3,734.50 : x
2. Step 2: Convert to fraction form
   2,130.50/3,734.50 = 3,734.50/x
3. Step 3: Cross multiply
   2,130.50x = 3,734.50 × 3,734.50
4. Step 4: Simplify right side
   2,130.50x = 13,946,490.25
5. Step 5: Solve for x
   x = 13,946,490.25/2,130.50
6. Step 6: Final answer
   x = 6,546.11