Finding the Third Proportional to 34,208 and 73,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,208 : 73,509.50 = 73,509.50 : x
2. Step 2: Convert to fraction form
   34,208/73,509.50 = 73,509.50/x
3. Step 3: Cross multiply
   34,208x = 73,509.50 × 73,509.50
4. Step 4: Simplify right side
   34,208x = 5,403,646,590.25
5. Step 5: Solve for x
   x = 5,403,646,590.25/34,208
6. Step 6: Final answer
   x = 157,964.41