Finding the Third Proportional to 30,624 and 72,015

Step by Step Solution

1. Step 1: Write the proportion equation
   30,624 : 72,015 = 72,015 : x
2. Step 2: Convert to fraction form
   30,624/72,015 = 72,015/x
3. Step 3: Cross multiply
   30,624x = 72,015 × 72,015
4. Step 4: Simplify right side
   30,624x = 5,186,160,225
5. Step 5: Solve for x
   x = 5,186,160,225/30,624
6. Step 6: Final answer
   x = 169,349.54