Finding the Third Proportional to 1,040 and 1,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,040 : 1,688.50 = 1,688.50 : x
2. Step 2: Convert to fraction form
   1,040/1,688.50 = 1,688.50/x
3. Step 3: Cross multiply
   1,040x = 1,688.50 × 1,688.50
4. Step 4: Simplify right side
   1,040x = 2,851,032.25
5. Step 5: Solve for x
   x = 2,851,032.25/1,040
6. Step 6: Final answer
   x = 2,741.38