Finding the Third Proportional to 12,689.50 and 30,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,689.50 : 30,533.50 = 30,533.50 : x
2. Step 2: Convert to fraction form
   12,689.50/30,533.50 = 30,533.50/x
3. Step 3: Cross multiply
   12,689.50x = 30,533.50 × 30,533.50
4. Step 4: Simplify right side
   12,689.50x = 932,294,622.25
5. Step 5: Solve for x
   x = 932,294,622.25/12,689.50
6. Step 6: Final answer
   x = 73,469.77