Finding the Third Proportional to 35,732 and 75,488

Step by Step Solution

1. Step 1: Write the proportion equation
   35,732 : 75,488 = 75,488 : x
2. Step 2: Convert to fraction form
   35,732/75,488 = 75,488/x
3. Step 3: Cross multiply
   35,732x = 75,488 × 75,488
4. Step 4: Simplify right side
   35,732x = 5,698,438,144
5. Step 5: Solve for x
   x = 5,698,438,144/35,732
6. Step 6: Final answer
   x = 159,477.17