Finding the Third Proportional to 30,826 and 72,745

Step by Step Solution

1. Step 1: Write the proportion equation
   30,826 : 72,745 = 72,745 : x
2. Step 2: Convert to fraction form
   30,826/72,745 = 72,745/x
3. Step 3: Cross multiply
   30,826x = 72,745 × 72,745
4. Step 4: Simplify right side
   30,826x = 5,291,835,025
5. Step 5: Solve for x
   x = 5,291,835,025/30,826
6. Step 6: Final answer
   x = 171,667.91