Finding the Third Proportional to 5,411.81 and 7,314.47

Step by Step Solution

1. Step 1: Write the proportion equation
   5,411.81 : 7,314.47 = 7,314.47 : x
2. Step 2: Convert to fraction form
   5,411.81/7,314.47 = 7,314.47/x
3. Step 3: Cross multiply
   5,411.81x = 7,314.47 × 7,314.47
4. Step 4: Simplify right side
   5,411.81x = 53,501,453.09
5. Step 5: Solve for x
   x = 53,501,453.09/5,411.81
6. Step 6: Final answer
   x = 9,886.05