Finding the Third Proportional to 37,299 and 57,624

Step by Step Solution

1. Step 1: Write the proportion equation
   37,299 : 57,624 = 57,624 : x
2. Step 2: Convert to fraction form
   37,299/57,624 = 57,624/x
3. Step 3: Cross multiply
   37,299x = 57,624 × 57,624
4. Step 4: Simplify right side
   37,299x = 3,320,525,376
5. Step 5: Solve for x
   x = 3,320,525,376/37,299
6. Step 6: Final answer
   x = 89,024.51