Finding the Third Proportional to 1,687.50 and 3,458.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,687.50 : 3,458.53 = 3,458.53 : x
2. Step 2: Convert to fraction form
   1,687.50/3,458.53 = 3,458.53/x
3. Step 3: Cross multiply
   1,687.50x = 3,458.53 × 3,458.53
4. Step 4: Simplify right side
   1,687.50x = 11,961,438.41
5. Step 5: Solve for x
   x = 11,961,438.41/1,687.50
6. Step 6: Final answer
   x = 7,088.26