Finding the Third Proportional to 5,009.50 and 7,798

Step by Step Solution

1. Step 1: Write the proportion equation
   5,009.50 : 7,798 = 7,798 : x
2. Step 2: Convert to fraction form
   5,009.50/7,798 = 7,798/x
3. Step 3: Cross multiply
   5,009.50x = 7,798 × 7,798
4. Step 4: Simplify right side
   5,009.50x = 60,808,804
5. Step 5: Solve for x
   x = 60,808,804/5,009.50
6. Step 6: Final answer
   x = 12,138.70