Finding the Third Proportional to 23,731 and 52,199

Step by Step Solution

1. Step 1: Write the proportion equation
   23,731 : 52,199 = 52,199 : x
2. Step 2: Convert to fraction form
   23,731/52,199 = 52,199/x
3. Step 3: Cross multiply
   23,731x = 52,199 × 52,199
4. Step 4: Simplify right side
   23,731x = 2,724,735,601
5. Step 5: Solve for x
   x = 2,724,735,601/23,731
6. Step 6: Final answer
   x = 114,817.56