Finding the Third Proportional to 35,452 and 72,726

Step by Step Solution

1. Step 1: Write the proportion equation
   35,452 : 72,726 = 72,726 : x
2. Step 2: Convert to fraction form
   35,452/72,726 = 72,726/x
3. Step 3: Cross multiply
   35,452x = 72,726 × 72,726
4. Step 4: Simplify right side
   35,452x = 5,289,071,076
5. Step 5: Solve for x
   x = 5,289,071,076/35,452
6. Step 6: Final answer
   x = 149,189.64