Finding the Third Proportional to 5,799 and 10,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,799 : 10,666.50 = 10,666.50 : x
2. Step 2: Convert to fraction form
   5,799/10,666.50 = 10,666.50/x
3. Step 3: Cross multiply
   5,799x = 10,666.50 × 10,666.50
4. Step 4: Simplify right side
   5,799x = 113,774,222.25
5. Step 5: Solve for x
   x = 113,774,222.25/5,799
6. Step 6: Final answer
   x = 19,619.63