Finding the Third Proportional to 2,629 and 3,851.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,629 : 3,851.50 = 3,851.50 : x
2. Step 2: Convert to fraction form
   2,629/3,851.50 = 3,851.50/x
3. Step 3: Cross multiply
   2,629x = 3,851.50 × 3,851.50
4. Step 4: Simplify right side
   2,629x = 14,834,052.25
5. Step 5: Solve for x
   x = 14,834,052.25/2,629
6. Step 6: Final answer
   x = 5,642.47