Finding the Third Proportional to 23,578.50 and 31,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,578.50 : 31,477.50 = 31,477.50 : x
2. Step 2: Convert to fraction form
   23,578.50/31,477.50 = 31,477.50/x
3. Step 3: Cross multiply
   23,578.50x = 31,477.50 × 31,477.50
4. Step 4: Simplify right side
   23,578.50x = 990,833,006.25
5. Step 5: Solve for x
   x = 990,833,006.25/23,578.50
6. Step 6: Final answer
   x = 42,022.73