Finding the Third Proportional to 2,470.50 and 3,726

Step by Step Solution

1. Step 1: Write the proportion equation
   2,470.50 : 3,726 = 3,726 : x
2. Step 2: Convert to fraction form
   2,470.50/3,726 = 3,726/x
3. Step 3: Cross multiply
   2,470.50x = 3,726 × 3,726
4. Step 4: Simplify right side
   2,470.50x = 13,883,076
5. Step 5: Solve for x
   x = 13,883,076/2,470.50
6. Step 6: Final answer
   x = 5,619.54