Finding the Third Proportional to 35,235 and 72,468

Step by Step Solution

1. Step 1: Write the proportion equation
   35,235 : 72,468 = 72,468 : x
2. Step 2: Convert to fraction form
   35,235/72,468 = 72,468/x
3. Step 3: Cross multiply
   35,235x = 72,468 × 72,468
4. Step 4: Simplify right side
   35,235x = 5,251,611,024
5. Step 5: Solve for x
   x = 5,251,611,024/35,235
6. Step 6: Final answer
   x = 149,045.30