Finding the Third Proportional to 1,265.81 and 1,981.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265.81 : 1,981.69 = 1,981.69 : x
2. Step 2: Convert to fraction form
   1,265.81/1,981.69 = 1,981.69/x
3. Step 3: Cross multiply
   1,265.81x = 1,981.69 × 1,981.69
4. Step 4: Simplify right side
   1,265.81x = 3,927,085.35
5. Step 5: Solve for x
   x = 3,927,085.35/1,265.81
6. Step 6: Final answer
   x = 3,102.42