Finding the Third Proportional to 10,975.50 and 23,869.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,975.50 : 23,869.69 = 23,869.69 : x
2. Step 2: Convert to fraction form
   10,975.50/23,869.69 = 23,869.69/x
3. Step 3: Cross multiply
   10,975.50x = 23,869.69 × 23,869.69
4. Step 4: Simplify right side
   10,975.50x = 569,761,981.35
5. Step 5: Solve for x
   x = 569,761,981.35/10,975.50
6. Step 6: Final answer
   x = 51,912.17