Finding the Third Proportional to 2,091.38 and 4,543.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,091.38 : 4,543.88 = 4,543.88 : x
2. Step 2: Convert to fraction form
   2,091.38/4,543.88 = 4,543.88/x
3. Step 3: Cross multiply
   2,091.38x = 4,543.88 × 4,543.88
4. Step 4: Simplify right side
   2,091.38x = 20,646,800.02
5. Step 5: Solve for x
   x = 20,646,800.02/2,091.38
6. Step 6: Final answer
   x = 9,872.36