Finding the Third Proportional to 32,838 and 73,330.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,838 : 73,330.50 = 73,330.50 : x
2. Step 2: Convert to fraction form
   32,838/73,330.50 = 73,330.50/x
3. Step 3: Cross multiply
   32,838x = 73,330.50 × 73,330.50
4. Step 4: Simplify right side
   32,838x = 5,377,362,230.25
5. Step 5: Solve for x
   x = 5,377,362,230.25/32,838
6. Step 6: Final answer
   x = 163,754.26