Finding the Third Proportional to 35,722 and 72,416

Step by Step Solution

1. Step 1: Write the proportion equation
   35,722 : 72,416 = 72,416 : x
2. Step 2: Convert to fraction form
   35,722/72,416 = 72,416/x
3. Step 3: Cross multiply
   35,722x = 72,416 × 72,416
4. Step 4: Simplify right side
   35,722x = 5,244,077,056
5. Step 5: Solve for x
   x = 5,244,077,056/35,722
6. Step 6: Final answer
   x = 146,802.45