Finding the Third Proportional to 2,132 and 3,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,132 : 3,737.50 = 3,737.50 : x
2. Step 2: Convert to fraction form
   2,132/3,737.50 = 3,737.50/x
3. Step 3: Cross multiply
   2,132x = 3,737.50 × 3,737.50
4. Step 4: Simplify right side
   2,132x = 13,968,906.25
5. Step 5: Solve for x
   x = 13,968,906.25/2,132
6. Step 6: Final answer
   x = 6,552.02