Finding the Third Proportional to 1,849.50 and 4,316.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,849.50 : 4,316.06 = 4,316.06 : x
2. Step 2: Convert to fraction form
   1,849.50/4,316.06 = 4,316.06/x
3. Step 3: Cross multiply
   1,849.50x = 4,316.06 × 4,316.06
4. Step 4: Simplify right side
   1,849.50x = 18,628,395.50
5. Step 5: Solve for x
   x = 18,628,395.50/1,849.50
6. Step 6: Final answer
   x = 10,072.13