Finding the Third Proportional to 34,116 and 72,282

Step by Step Solution

1. Step 1: Write the proportion equation
   34,116 : 72,282 = 72,282 : x
2. Step 2: Convert to fraction form
   34,116/72,282 = 72,282/x
3. Step 3: Cross multiply
   34,116x = 72,282 × 72,282
4. Step 4: Simplify right side
   34,116x = 5,224,687,524
5. Step 5: Solve for x
   x = 5,224,687,524/34,116
6. Step 6: Final answer
   x = 153,144.79