Finding the Third Proportional to 6,187 and 10,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,187 : 10,105.50 = 10,105.50 : x
2. Step 2: Convert to fraction form
   6,187/10,105.50 = 10,105.50/x
3. Step 3: Cross multiply
   6,187x = 10,105.50 × 10,105.50
4. Step 4: Simplify right side
   6,187x = 102,121,130.25
5. Step 5: Solve for x
   x = 102,121,130.25/6,187
6. Step 6: Final answer
   x = 16,505.76