Finding the Third Proportional to 33,004 and 47,294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,004 : 47,294.50 = 47,294.50 : x
2. Step 2: Convert to fraction form
   33,004/47,294.50 = 47,294.50/x
3. Step 3: Cross multiply
   33,004x = 47,294.50 × 47,294.50
4. Step 4: Simplify right side
   33,004x = 2,236,769,730.25
5. Step 5: Solve for x
   x = 2,236,769,730.25/33,004
6. Step 6: Final answer
   x = 67,772.69