Finding the Third Proportional to 2,184.19 and 4,715.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,184.19 : 4,715.06 = 4,715.06 : x
2. Step 2: Convert to fraction form
   2,184.19/4,715.06 = 4,715.06/x
3. Step 3: Cross multiply
   2,184.19x = 4,715.06 × 4,715.06
4. Step 4: Simplify right side
   2,184.19x = 22,231,814.38
5. Step 5: Solve for x
   x = 22,231,814.38/2,184.19
6. Step 6: Final answer
   x = 10,178.53