Finding the Third Proportional to 10,731 and 23,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,731 : 23,599.50 = 23,599.50 : x
2. Step 2: Convert to fraction form
   10,731/23,599.50 = 23,599.50/x
3. Step 3: Cross multiply
   10,731x = 23,599.50 × 23,599.50
4. Step 4: Simplify right side
   10,731x = 556,936,400.25
5. Step 5: Solve for x
   x = 556,936,400.25/10,731
6. Step 6: Final answer
   x = 51,899.77