Finding the Third Proportional to 14,968.50 and 23,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,968.50 : 23,272.50 = 23,272.50 : x
2. Step 2: Convert to fraction form
   14,968.50/23,272.50 = 23,272.50/x
3. Step 3: Cross multiply
   14,968.50x = 23,272.50 × 23,272.50
4. Step 4: Simplify right side
   14,968.50x = 541,609,256.25
5. Step 5: Solve for x
   x = 541,609,256.25/14,968.50
6. Step 6: Final answer
   x = 36,183.27