Finding the Third Proportional to 5,091 and 12,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,091 : 12,106.50 = 12,106.50 : x
2. Step 2: Convert to fraction form
   5,091/12,106.50 = 12,106.50/x
3. Step 3: Cross multiply
   5,091x = 12,106.50 × 12,106.50
4. Step 4: Simplify right side
   5,091x = 146,567,342.25
5. Step 5: Solve for x
   x = 146,567,342.25/5,091
6. Step 6: Final answer
   x = 28,789.50