Finding the Third Proportional to 24,604 and 37,997

Step by Step Solution

1. Step 1: Write the proportion equation
   24,604 : 37,997 = 37,997 : x
2. Step 2: Convert to fraction form
   24,604/37,997 = 37,997/x
3. Step 3: Cross multiply
   24,604x = 37,997 × 37,997
4. Step 4: Simplify right side
   24,604x = 1,443,772,009
5. Step 5: Solve for x
   x = 1,443,772,009/24,604
6. Step 6: Final answer
   x = 58,680.38