Finding the Third Proportional to 24,471 and 35,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,471 : 35,329.50 = 35,329.50 : x
2. Step 2: Convert to fraction form
   24,471/35,329.50 = 35,329.50/x
3. Step 3: Cross multiply
   24,471x = 35,329.50 × 35,329.50
4. Step 4: Simplify right side
   24,471x = 1,248,173,570.25
5. Step 5: Solve for x
   x = 1,248,173,570.25/24,471
6. Step 6: Final answer
   x = 51,006.23