Finding the Third Proportional to 30,766 and 72,438

Step by Step Solution

1. Step 1: Write the proportion equation
   30,766 : 72,438 = 72,438 : x
2. Step 2: Convert to fraction form
   30,766/72,438 = 72,438/x
3. Step 3: Cross multiply
   30,766x = 72,438 × 72,438
4. Step 4: Simplify right side
   30,766x = 5,247,263,844
5. Step 5: Solve for x
   x = 5,247,263,844/30,766
6. Step 6: Final answer
   x = 170,553.98