Finding the Third Proportional to 24,523 and 38,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,523 : 38,857.50 = 38,857.50 : x
2. Step 2: Convert to fraction form
   24,523/38,857.50 = 38,857.50/x
3. Step 3: Cross multiply
   24,523x = 38,857.50 × 38,857.50
4. Step 4: Simplify right side
   24,523x = 1,509,905,306.25
5. Step 5: Solve for x
   x = 1,509,905,306.25/24,523
6. Step 6: Final answer
   x = 61,570.99