Finding the Third Proportional to 1,201.92 and 1,926.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,201.92 : 1,926.07 = 1,926.07 : x
2. Step 2: Convert to fraction form
   1,201.92/1,926.07 = 1,926.07/x
3. Step 3: Cross multiply
   1,201.92x = 1,926.07 × 1,926.07
4. Step 4: Simplify right side
   1,201.92x = 3,709,746.85
5. Step 5: Solve for x
   x = 3,709,746.85/1,201.92
6. Step 6: Final answer
   x = 3,086.51