Finding the Third Proportional to 14,667 and 34,588

Step by Step Solution

1. Step 1: Write the proportion equation
   14,667 : 34,588 = 34,588 : x
2. Step 2: Convert to fraction form
   14,667/34,588 = 34,588/x
3. Step 3: Cross multiply
   14,667x = 34,588 × 34,588
4. Step 4: Simplify right side
   14,667x = 1,196,329,744
5. Step 5: Solve for x
   x = 1,196,329,744/14,667
6. Step 6: Final answer
   x = 81,566.08