Finding the Third Proportional to 10,186.50 and 24,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,186.50 : 24,535.50 = 24,535.50 : x
2. Step 2: Convert to fraction form
   10,186.50/24,535.50 = 24,535.50/x
3. Step 3: Cross multiply
   10,186.50x = 24,535.50 × 24,535.50
4. Step 4: Simplify right side
   10,186.50x = 601,990,760.25
5. Step 5: Solve for x
   x = 601,990,760.25/10,186.50
6. Step 6: Final answer
   x = 59,096.92