Finding the Third Proportional to 10,761 and 24,274.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,761 : 24,274.50 = 24,274.50 : x
2. Step 2: Convert to fraction form
   10,761/24,274.50 = 24,274.50/x
3. Step 3: Cross multiply
   10,761x = 24,274.50 × 24,274.50
4. Step 4: Simplify right side
   10,761x = 589,251,350.25
5. Step 5: Solve for x
   x = 589,251,350.25/10,761
6. Step 6: Final answer
   x = 54,758.05