Finding the Third Proportional to 34,504 and 75,488

Step by Step Solution

1. Step 1: Write the proportion equation
   34,504 : 75,488 = 75,488 : x
2. Step 2: Convert to fraction form
   34,504/75,488 = 75,488/x
3. Step 3: Cross multiply
   34,504x = 75,488 × 75,488
4. Step 4: Simplify right side
   34,504x = 5,698,438,144
5. Step 5: Solve for x
   x = 5,698,438,144/34,504
6. Step 6: Final answer
   x = 165,152.97