Finding the Third Proportional to 10,975.50 and 24,041.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,975.50 : 24,041.81 = 24,041.81 : x
2. Step 2: Convert to fraction form
   10,975.50/24,041.81 = 24,041.81/x
3. Step 3: Cross multiply
   10,975.50x = 24,041.81 × 24,041.81
4. Step 4: Simplify right side
   10,975.50x = 578,008,748.29
5. Step 5: Solve for x
   x = 578,008,748.29/10,975.50
6. Step 6: Final answer
   x = 52,663.55