Finding the Third Proportional to 5,878.50 and 9,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,878.50 : 9,106.50 = 9,106.50 : x
2. Step 2: Convert to fraction form
   5,878.50/9,106.50 = 9,106.50/x
3. Step 3: Cross multiply
   5,878.50x = 9,106.50 × 9,106.50
4. Step 4: Simplify right side
   5,878.50x = 82,928,342.25
5. Step 5: Solve for x
   x = 82,928,342.25/5,878.50
6. Step 6: Final answer
   x = 14,107.06