Finding the Third Proportional to 24,193 and 51,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,193 : 51,666.50 = 51,666.50 : x
2. Step 2: Convert to fraction form
   24,193/51,666.50 = 51,666.50/x
3. Step 3: Cross multiply
   24,193x = 51,666.50 × 51,666.50
4. Step 4: Simplify right side
   24,193x = 2,669,427,222.25
5. Step 5: Solve for x
   x = 2,669,427,222.25/24,193
6. Step 6: Final answer
   x = 110,338.83