Finding the Third Proportional to 23,830 and 52,327

Step by Step Solution

1. Step 1: Write the proportion equation
   23,830 : 52,327 = 52,327 : x
2. Step 2: Convert to fraction form
   23,830/52,327 = 52,327/x
3. Step 3: Cross multiply
   23,830x = 52,327 × 52,327
4. Step 4: Simplify right side
   23,830x = 2,738,114,929
5. Step 5: Solve for x
   x = 2,738,114,929/23,830
6. Step 6: Final answer
   x = 114,902.01