Finding the Third Proportional to 2,259.38 and 4,691.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,259.38 : 4,691.63 = 4,691.63 : x
2. Step 2: Convert to fraction form
   2,259.38/4,691.63 = 4,691.63/x
3. Step 3: Cross multiply
   2,259.38x = 4,691.63 × 4,691.63
4. Step 4: Simplify right side
   2,259.38x = 22,011,345.14
5. Step 5: Solve for x
   x = 22,011,345.14/2,259.38
6. Step 6: Final answer
   x = 9,742.23