Finding the Third Proportional to 34,866 and 76,404.38

Step by Step Solution

1. Step 1: Write the proportion equation
   34,866 : 76,404.38 = 76,404.38 : x
2. Step 2: Convert to fraction form
   34,866/76,404.38 = 76,404.38/x
3. Step 3: Cross multiply
   34,866x = 76,404.38 × 76,404.38
4. Step 4: Simplify right side
   34,866x = 5,837,628,519.14
5. Step 5: Solve for x
   x = 5,837,628,519.14/34,866
6. Step 6: Final answer
   x = 167,430.41