Finding the Third Proportional to 32,646 and 73,279.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,646 : 73,279.50 = 73,279.50 : x
2. Step 2: Convert to fraction form
   32,646/73,279.50 = 73,279.50/x
3. Step 3: Cross multiply
   32,646x = 73,279.50 × 73,279.50
4. Step 4: Simplify right side
   32,646x = 5,369,885,120.25
5. Step 5: Solve for x
   x = 5,369,885,120.25/32,646
6. Step 6: Final answer
   x = 164,488.30