Finding the Third Proportional to 13,564.50 and 32,667

Step by Step Solution

1. Step 1: Write the proportion equation
   13,564.50 : 32,667 = 32,667 : x
2. Step 2: Convert to fraction form
   13,564.50/32,667 = 32,667/x
3. Step 3: Cross multiply
   13,564.50x = 32,667 × 32,667
4. Step 4: Simplify right side
   13,564.50x = 1,067,132,889
5. Step 5: Solve for x
   x = 1,067,132,889/13,564.50
6. Step 6: Final answer
   x = 78,671.01