Finding the Third Proportional to 1,637.50 and 3,469

Step by Step Solution

1. Step 1: Write the proportion equation
   1,637.50 : 3,469 = 3,469 : x
2. Step 2: Convert to fraction form
   1,637.50/3,469 = 3,469/x
3. Step 3: Cross multiply
   1,637.50x = 3,469 × 3,469
4. Step 4: Simplify right side
   1,637.50x = 12,033,961
5. Step 5: Solve for x
   x = 12,033,961/1,637.50
6. Step 6: Final answer
   x = 7,348.98