Finding the Third Proportional to 834.19 and 1,981.69

Step by Step Solution

1. Step 1: Write the proportion equation
   834.19 : 1,981.69 = 1,981.69 : x
2. Step 2: Convert to fraction form
   834.19/1,981.69 = 1,981.69/x
3. Step 3: Cross multiply
   834.19x = 1,981.69 × 1,981.69
4. Step 4: Simplify right side
   834.19x = 3,927,085.35
5. Step 5: Solve for x
   x = 3,927,085.35/834.19
6. Step 6: Final answer
   x = 4,707.68