Finding the Third Proportional to 24,206 and 37,002

Step by Step Solution

1. Step 1: Write the proportion equation
   24,206 : 37,002 = 37,002 : x
2. Step 2: Convert to fraction form
   24,206/37,002 = 37,002/x
3. Step 3: Cross multiply
   24,206x = 37,002 × 37,002
4. Step 4: Simplify right side
   24,206x = 1,369,148,004
5. Step 5: Solve for x
   x = 1,369,148,004/24,206
6. Step 6: Final answer
   x = 56,562.34