Finding the Third Proportional to 781.50 and 1,834

Step by Step Solution

1. Step 1: Write the proportion equation
   781.50 : 1,834 = 1,834 : x
2. Step 2: Convert to fraction form
   781.50/1,834 = 1,834/x
3. Step 3: Cross multiply
   781.50x = 1,834 × 1,834
4. Step 4: Simplify right side
   781.50x = 3,363,556
5. Step 5: Solve for x
   x = 3,363,556/781.50
6. Step 6: Final answer
   x = 4,303.97