Finding the Third Proportional to 14,977.50 and 23,667

Step by Step Solution

1. Step 1: Write the proportion equation
   14,977.50 : 23,667 = 23,667 : x
2. Step 2: Convert to fraction form
   14,977.50/23,667 = 23,667/x
3. Step 3: Cross multiply
   14,977.50x = 23,667 × 23,667
4. Step 4: Simplify right side
   14,977.50x = 560,126,889
5. Step 5: Solve for x
   x = 560,126,889/14,977.50
6. Step 6: Final answer
   x = 37,397.89