Finding the Third Proportional to 30,589.50 and 67,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,589.50 : 67,204.50 = 67,204.50 : x
2. Step 2: Convert to fraction form
   30,589.50/67,204.50 = 67,204.50/x
3. Step 3: Cross multiply
   30,589.50x = 67,204.50 × 67,204.50
4. Step 4: Simplify right side
   30,589.50x = 4,516,444,820.25
5. Step 5: Solve for x
   x = 4,516,444,820.25/30,589.50
6. Step 6: Final answer
   x = 147,646.90