Finding the Third Proportional to 33,730 and 73,048.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,730 : 73,048.50 = 73,048.50 : x
2. Step 2: Convert to fraction form
   33,730/73,048.50 = 73,048.50/x
3. Step 3: Cross multiply
   33,730x = 73,048.50 × 73,048.50
4. Step 4: Simplify right side
   33,730x = 5,336,083,352.25
5. Step 5: Solve for x
   x = 5,336,083,352.25/33,730
6. Step 6: Final answer
   x = 158,199.92