Finding the Third Proportional to 35,538 and 72,076

Step by Step Solution

1. Step 1: Write the proportion equation
   35,538 : 72,076 = 72,076 : x
2. Step 2: Convert to fraction form
   35,538/72,076 = 72,076/x
3. Step 3: Cross multiply
   35,538x = 72,076 × 72,076
4. Step 4: Simplify right side
   35,538x = 5,194,949,776
5. Step 5: Solve for x
   x = 5,194,949,776/35,538
6. Step 6: Final answer
   x = 146,180.14