Finding the Third Proportional to 14,634 and 33,689.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,634 : 33,689.25 = 33,689.25 : x
2. Step 2: Convert to fraction form
   14,634/33,689.25 = 33,689.25/x
3. Step 3: Cross multiply
   14,634x = 33,689.25 × 33,689.25
4. Step 4: Simplify right side
   14,634x = 1,134,965,565.56
5. Step 5: Solve for x
   x = 1,134,965,565.56/14,634
6. Step 6: Final answer
   x = 77,556.76