Finding the Third Proportional to 1,092.23 and 1,961.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.23 : 1,961.72 = 1,961.72 : x
2. Step 2: Convert to fraction form
   1,092.23/1,961.72 = 1,961.72/x
3. Step 3: Cross multiply
   1,092.23x = 1,961.72 × 1,961.72
4. Step 4: Simplify right side
   1,092.23x = 3,848,340.45
5. Step 5: Solve for x
   x = 3,848,340.45/1,092.23
6. Step 6: Final answer
   x = 3,523.37