Finding the Third Proportional to 1,111.50 and 1,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.50 : 1,693.50 = 1,693.50 : x
2. Step 2: Convert to fraction form
   1,111.50/1,693.50 = 1,693.50/x
3. Step 3: Cross multiply
   1,111.50x = 1,693.50 × 1,693.50
4. Step 4: Simplify right side
   1,111.50x = 2,867,942.25
5. Step 5: Solve for x
   x = 2,867,942.25/1,111.50
6. Step 6: Final answer
   x = 2,580.24