Finding the Third Proportional to 10,627.50 and 23,064

Step by Step Solution

1. Step 1: Write the proportion equation
   10,627.50 : 23,064 = 23,064 : x
2. Step 2: Convert to fraction form
   10,627.50/23,064 = 23,064/x
3. Step 3: Cross multiply
   10,627.50x = 23,064 × 23,064
4. Step 4: Simplify right side
   10,627.50x = 531,948,096
5. Step 5: Solve for x
   x = 531,948,096/10,627.50
6. Step 6: Final answer
   x = 50,053.93