Finding the Third Proportional to 10,638.75 and 23,142.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638.75 : 23,142.75 = 23,142.75 : x
2. Step 2: Convert to fraction form
   10,638.75/23,142.75 = 23,142.75/x
3. Step 3: Cross multiply
   10,638.75x = 23,142.75 × 23,142.75
4. Step 4: Simplify right side
   10,638.75x = 535,586,877.56
5. Step 5: Solve for x
   x = 535,586,877.56/10,638.75
6. Step 6: Final answer
   x = 50,343.03