Finding the Third Proportional to 6,091.50 and 13,123

Step by Step Solution

1. Step 1: Write the proportion equation
   6,091.50 : 13,123 = 13,123 : x
2. Step 2: Convert to fraction form
   6,091.50/13,123 = 13,123/x
3. Step 3: Cross multiply
   6,091.50x = 13,123 × 13,123
4. Step 4: Simplify right side
   6,091.50x = 172,213,129
5. Step 5: Solve for x
   x = 172,213,129/6,091.50
6. Step 6: Final answer
   x = 28,271.05