Finding the Third Proportional to 35,037 and 72,558

Step by Step Solution

1. Step 1: Write the proportion equation
   35,037 : 72,558 = 72,558 : x
2. Step 2: Convert to fraction form
   35,037/72,558 = 72,558/x
3. Step 3: Cross multiply
   35,037x = 72,558 × 72,558
4. Step 4: Simplify right side
   35,037x = 5,264,663,364
5. Step 5: Solve for x
   x = 5,264,663,364/35,037
6. Step 6: Final answer
   x = 150,260.11