Finding the Third Proportional to 1,981.69 and 3,137.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,981.69 : 3,137.06 = 3,137.06 : x
2. Step 2: Convert to fraction form
   1,981.69/3,137.06 = 3,137.06/x
3. Step 3: Cross multiply
   1,981.69x = 3,137.06 × 3,137.06
4. Step 4: Simplify right side
   1,981.69x = 9,841,161.13
5. Step 5: Solve for x
   x = 9,841,161.13/1,981.69
6. Step 6: Final answer
   x = 4,966.05