Finding the Third Proportional to 10,606 and 24,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,606 : 24,656.50 = 24,656.50 : x
2. Step 2: Convert to fraction form
   10,606/24,656.50 = 24,656.50/x
3. Step 3: Cross multiply
   10,606x = 24,656.50 × 24,656.50
4. Step 4: Simplify right side
   10,606x = 607,942,992.25
5. Step 5: Solve for x
   x = 607,942,992.25/10,606
6. Step 6: Final answer
   x = 57,320.67