Finding the Third Proportional to 24,164 and 34,028.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,164 : 34,028.50 = 34,028.50 : x
2. Step 2: Convert to fraction form
   24,164/34,028.50 = 34,028.50/x
3. Step 3: Cross multiply
   24,164x = 34,028.50 × 34,028.50
4. Step 4: Simplify right side
   24,164x = 1,157,938,812.25
5. Step 5: Solve for x
   x = 1,157,938,812.25/24,164
6. Step 6: Final answer
   x = 47,920.00