Finding the Third Proportional to 2,634 and 3,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,634 : 3,828.50 = 3,828.50 : x
2. Step 2: Convert to fraction form
   2,634/3,828.50 = 3,828.50/x
3. Step 3: Cross multiply
   2,634x = 3,828.50 × 3,828.50
4. Step 4: Simplify right side
   2,634x = 14,657,412.25
5. Step 5: Solve for x
   x = 14,657,412.25/2,634
6. Step 6: Final answer
   x = 5,564.70