Finding the Third Proportional to 15,500 and 33,997

Step by Step Solution

1. Step 1: Write the proportion equation
   15,500 : 33,997 = 33,997 : x
2. Step 2: Convert to fraction form
   15,500/33,997 = 33,997/x
3. Step 3: Cross multiply
   15,500x = 33,997 × 33,997
4. Step 4: Simplify right side
   15,500x = 1,155,796,009
5. Step 5: Solve for x
   x = 1,155,796,009/15,500
6. Step 6: Final answer
   x = 74,567.48