Finding the Third Proportional to 2,161.69 and 4,748.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,161.69 : 4,748.06 = 4,748.06 : x
2. Step 2: Convert to fraction form
   2,161.69/4,748.06 = 4,748.06/x
3. Step 3: Cross multiply
   2,161.69x = 4,748.06 × 4,748.06
4. Step 4: Simplify right side
   2,161.69x = 22,544,097.50
5. Step 5: Solve for x
   x = 22,544,097.50/2,161.69
6. Step 6: Final answer
   x = 10,428.93