Finding the Third Proportional to 5,465.81 and 8,947.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,465.81 : 8,947.69 = 8,947.69 : x
2. Step 2: Convert to fraction form
   5,465.81/8,947.69 = 8,947.69/x
3. Step 3: Cross multiply
   5,465.81x = 8,947.69 × 8,947.69
4. Step 4: Simplify right side
   5,465.81x = 80,061,111.60
5. Step 5: Solve for x
   x = 80,061,111.60/5,465.81
6. Step 6: Final answer
   x = 14,647.61