Finding the Third Proportional to 2,167.38 and 4,663.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,167.38 : 4,663.69 = 4,663.69 : x
2. Step 2: Convert to fraction form
   2,167.38/4,663.69 = 4,663.69/x
3. Step 3: Cross multiply
   2,167.38x = 4,663.69 × 4,663.69
4. Step 4: Simplify right side
   2,167.38x = 21,749,981.10
5. Step 5: Solve for x
   x = 21,749,981.10/2,167.38
6. Step 6: Final answer
   x = 10,035.17