Finding the Third Proportional to 35,224 and 73,358

Step by Step Solution

1. Step 1: Write the proportion equation
   35,224 : 73,358 = 73,358 : x
2. Step 2: Convert to fraction form
   35,224/73,358 = 73,358/x
3. Step 3: Cross multiply
   35,224x = 73,358 × 73,358
4. Step 4: Simplify right side
   35,224x = 5,381,396,164
5. Step 5: Solve for x
   x = 5,381,396,164/35,224
6. Step 6: Final answer
   x = 152,776.41