Finding the Third Proportional to 35,462 and 72,750

Step by Step Solution

1. Step 1: Write the proportion equation
   35,462 : 72,750 = 72,750 : x
2. Step 2: Convert to fraction form
   35,462/72,750 = 72,750/x
3. Step 3: Cross multiply
   35,462x = 72,750 × 72,750
4. Step 4: Simplify right side
   35,462x = 5,292,562,500
5. Step 5: Solve for x
   x = 5,292,562,500/35,462
6. Step 6: Final answer
   x = 149,246.02