Finding the Third Proportional to 1,781.50 and 3,898.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,781.50 : 3,898.25 = 3,898.25 : x
2. Step 2: Convert to fraction form
   1,781.50/3,898.25 = 3,898.25/x
3. Step 3: Cross multiply
   1,781.50x = 3,898.25 × 3,898.25
4. Step 4: Simplify right side
   1,781.50x = 15,196,353.06
5. Step 5: Solve for x
   x = 15,196,353.06/1,781.50
6. Step 6: Final answer
   x = 8,530.09