Finding the Third Proportional to 23,866 and 52,172

Step by Step Solution

1. Step 1: Write the proportion equation
   23,866 : 52,172 = 52,172 : x
2. Step 2: Convert to fraction form
   23,866/52,172 = 52,172/x
3. Step 3: Cross multiply
   23,866x = 52,172 × 52,172
4. Step 4: Simplify right side
   23,866x = 2,721,917,584
5. Step 5: Solve for x
   x = 2,721,917,584/23,866
6. Step 6: Final answer
   x = 114,050.01