Finding the Third Proportional to 4,651.50 and 12,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,651.50 : 12,106.50 = 12,106.50 : x
2. Step 2: Convert to fraction form
   4,651.50/12,106.50 = 12,106.50/x
3. Step 3: Cross multiply
   4,651.50x = 12,106.50 × 12,106.50
4. Step 4: Simplify right side
   4,651.50x = 146,567,342.25
5. Step 5: Solve for x
   x = 146,567,342.25/4,651.50
6. Step 6: Final answer
   x = 31,509.69