Finding the Third Proportional to 33,709.50 and 71,784

Step by Step Solution

1. Step 1: Write the proportion equation
   33,709.50 : 71,784 = 71,784 : x
2. Step 2: Convert to fraction form
   33,709.50/71,784 = 71,784/x
3. Step 3: Cross multiply
   33,709.50x = 71,784 × 71,784
4. Step 4: Simplify right side
   33,709.50x = 5,152,942,656
5. Step 5: Solve for x
   x = 5,152,942,656/33,709.50
6. Step 6: Final answer
   x = 152,863.22