Finding the Third Proportional to 30,916 and 67,352

Step by Step Solution

1. Step 1: Write the proportion equation
   30,916 : 67,352 = 67,352 : x
2. Step 2: Convert to fraction form
   30,916/67,352 = 67,352/x
3. Step 3: Cross multiply
   30,916x = 67,352 × 67,352
4. Step 4: Simplify right side
   30,916x = 4,536,291,904
5. Step 5: Solve for x
   x = 4,536,291,904/30,916
6. Step 6: Final answer
   x = 146,729.59