Finding the Third Proportional to 33,058 and 72,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,058 : 72,678.50 = 72,678.50 : x
2. Step 2: Convert to fraction form
   33,058/72,678.50 = 72,678.50/x
3. Step 3: Cross multiply
   33,058x = 72,678.50 × 72,678.50
4. Step 4: Simplify right side
   33,058x = 5,282,164,362.25
5. Step 5: Solve for x
   x = 5,282,164,362.25/33,058
6. Step 6: Final answer
   x = 159,784.75