Finding the Third Proportional to 14,823 and 23,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,823 : 23,422.50 = 23,422.50 : x
2. Step 2: Convert to fraction form
   14,823/23,422.50 = 23,422.50/x
3. Step 3: Cross multiply
   14,823x = 23,422.50 × 23,422.50
4. Step 4: Simplify right side
   14,823x = 548,613,506.25
5. Step 5: Solve for x
   x = 548,613,506.25/14,823
6. Step 6: Final answer
   x = 37,010.96