Finding the Third Proportional to 23,788 and 52,285

Step by Step Solution

1. Step 1: Write the proportion equation
   23,788 : 52,285 = 52,285 : x
2. Step 2: Convert to fraction form
   23,788/52,285 = 52,285/x
3. Step 3: Cross multiply
   23,788x = 52,285 × 52,285
4. Step 4: Simplify right side
   23,788x = 2,733,721,225
5. Step 5: Solve for x
   x = 2,733,721,225/23,788
6. Step 6: Final answer
   x = 114,920.18