Finding the Third Proportional to 30,543 and 67,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,543 : 67,213.50 = 67,213.50 : x
2. Step 2: Convert to fraction form
   30,543/67,213.50 = 67,213.50/x
3. Step 3: Cross multiply
   30,543x = 67,213.50 × 67,213.50
4. Step 4: Simplify right side
   30,543x = 4,517,654,582.25
5. Step 5: Solve for x
   x = 4,517,654,582.25/30,543
6. Step 6: Final answer
   x = 147,911.29