Finding the Third Proportional to 33,219.50 and 71,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,219.50 : 71,656.50 = 71,656.50 : x
2. Step 2: Convert to fraction form
   33,219.50/71,656.50 = 71,656.50/x
3. Step 3: Cross multiply
   33,219.50x = 71,656.50 × 71,656.50
4. Step 4: Simplify right side
   33,219.50x = 5,134,653,992.25
5. Step 5: Solve for x
   x = 5,134,653,992.25/33,219.50
6. Step 6: Final answer
   x = 154,567.47