Finding the Third Proportional to 1,162.50 and 1,629

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.50 : 1,629 = 1,629 : x
2. Step 2: Convert to fraction form
   1,162.50/1,629 = 1,629/x
3. Step 3: Cross multiply
   1,162.50x = 1,629 × 1,629
4. Step 4: Simplify right side
   1,162.50x = 2,653,641
5. Step 5: Solve for x
   x = 2,653,641/1,162.50
6. Step 6: Final answer
   x = 2,282.70