Finding the Third Proportional to 34,642.69 and 36,829.69

Step by Step Solution

1. Step 1: Write the proportion equation
   34,642.69 : 36,829.69 = 36,829.69 : x
2. Step 2: Convert to fraction form
   34,642.69/36,829.69 = 36,829.69/x
3. Step 3: Cross multiply
   34,642.69x = 36,829.69 × 36,829.69
4. Step 4: Simplify right side
   34,642.69x = 1,356,425,881.35
5. Step 5: Solve for x
   x = 1,356,425,881.35/34,642.69
6. Step 6: Final answer
   x = 39,154.75