Finding the Third Proportional to 36,984 and 69,648

Step by Step Solution

1. Step 1: Write the proportion equation
   36,984 : 69,648 = 69,648 : x
2. Step 2: Convert to fraction form
   36,984/69,648 = 69,648/x
3. Step 3: Cross multiply
   36,984x = 69,648 × 69,648
4. Step 4: Simplify right side
   36,984x = 4,850,843,904
5. Step 5: Solve for x
   x = 4,850,843,904/36,984
6. Step 6: Final answer
   x = 131,160.61