Finding the Third Proportional to 2,174.81 and 4,656.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,174.81 : 4,656.94 = 4,656.94 : x
2. Step 2: Convert to fraction form
   2,174.81/4,656.94 = 4,656.94/x
3. Step 3: Cross multiply
   2,174.81x = 4,656.94 × 4,656.94
4. Step 4: Simplify right side
   2,174.81x = 21,687,066.88
5. Step 5: Solve for x
   x = 21,687,066.88/2,174.81
6. Step 6: Final answer
   x = 9,971.92