Finding the Third Proportional to 16,972.50 and 24,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,972.50 : 24,688.50 = 24,688.50 : x
2. Step 2: Convert to fraction form
   16,972.50/24,688.50 = 24,688.50/x
3. Step 3: Cross multiply
   16,972.50x = 24,688.50 × 24,688.50
4. Step 4: Simplify right side
   16,972.50x = 609,522,032.25
5. Step 5: Solve for x
   x = 609,522,032.25/16,972.50
6. Step 6: Final answer
   x = 35,912.33