Finding the Third Proportional to 30,536 and 43,564

Step by Step Solution

1. Step 1: Write the proportion equation
   30,536 : 43,564 = 43,564 : x
2. Step 2: Convert to fraction form
   30,536/43,564 = 43,564/x
3. Step 3: Cross multiply
   30,536x = 43,564 × 43,564
4. Step 4: Simplify right side
   30,536x = 1,897,822,096
5. Step 5: Solve for x
   x = 1,897,822,096/30,536
6. Step 6: Final answer
   x = 62,150.32