Finding the Third Proportional to 2,430 and 3,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,430 : 3,766.50 = 3,766.50 : x
2. Step 2: Convert to fraction form
   2,430/3,766.50 = 3,766.50/x
3. Step 3: Cross multiply
   2,430x = 3,766.50 × 3,766.50
4. Step 4: Simplify right side
   2,430x = 14,186,522.25
5. Step 5: Solve for x
   x = 14,186,522.25/2,430
6. Step 6: Final answer
   x = 5,838.08