Finding the Third Proportional to 23,789 and 52,114

Step by Step Solution

1. Step 1: Write the proportion equation
   23,789 : 52,114 = 52,114 : x
2. Step 2: Convert to fraction form
   23,789/52,114 = 52,114/x
3. Step 3: Cross multiply
   23,789x = 52,114 × 52,114
4. Step 4: Simplify right side
   23,789x = 2,715,868,996
5. Step 5: Solve for x
   x = 2,715,868,996/23,789
6. Step 6: Final answer
   x = 114,164.91