Finding the Third Proportional to 1,166.91 and 1,978.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.91 : 1,978.17 = 1,978.17 : x
2. Step 2: Convert to fraction form
   1,166.91/1,978.17 = 1,978.17/x
3. Step 3: Cross multiply
   1,166.91x = 1,978.17 × 1,978.17
4. Step 4: Simplify right side
   1,166.91x = 3,913,163.97
5. Step 5: Solve for x
   x = 3,913,163.97/1,166.91
6. Step 6: Final answer
   x = 3,353.45