Finding the Third Proportional to 24,200 and 37,389

Step by Step Solution

1. Step 1: Write the proportion equation
   24,200 : 37,389 = 37,389 : x
2. Step 2: Convert to fraction form
   24,200/37,389 = 37,389/x
3. Step 3: Cross multiply
   24,200x = 37,389 × 37,389
4. Step 4: Simplify right side
   24,200x = 1,397,937,321
5. Step 5: Solve for x
   x = 1,397,937,321/24,200
6. Step 6: Final answer
   x = 57,766.01