Finding the Third Proportional to 32,983 and 73,349

Step by Step Solution

1. Step 1: Write the proportion equation
   32,983 : 73,349 = 73,349 : x
2. Step 2: Convert to fraction form
   32,983/73,349 = 73,349/x
3. Step 3: Cross multiply
   32,983x = 73,349 × 73,349
4. Step 4: Simplify right side
   32,983x = 5,380,075,801
5. Step 5: Solve for x
   x = 5,380,075,801/32,983
6. Step 6: Final answer
   x = 163,116.63