Finding the Third Proportional to 38,144 and 59,624

Step by Step Solution

1. Step 1: Write the proportion equation
   38,144 : 59,624 = 59,624 : x
2. Step 2: Convert to fraction form
   38,144/59,624 = 59,624/x
3. Step 3: Cross multiply
   38,144x = 59,624 × 59,624
4. Step 4: Simplify right side
   38,144x = 3,555,021,376
5. Step 5: Solve for x
   x = 3,555,021,376/38,144
6. Step 6: Final answer
   x = 93,200.02