Finding the Third Proportional to 652 and 1,425.50

Step by Step Solution

1. Step 1: Write the proportion equation
   652 : 1,425.50 = 1,425.50 : x
2. Step 2: Convert to fraction form
   652/1,425.50 = 1,425.50/x
3. Step 3: Cross multiply
   652x = 1,425.50 × 1,425.50
4. Step 4: Simplify right side
   652x = 2,032,050.25
5. Step 5: Solve for x
   x = 2,032,050.25/652
6. Step 6: Final answer
   x = 3,116.64