Finding the Third Proportional to 24,574 and 37,064

Step by Step Solution

1. Step 1: Write the proportion equation
   24,574 : 37,064 = 37,064 : x
2. Step 2: Convert to fraction form
   24,574/37,064 = 37,064/x
3. Step 3: Cross multiply
   24,574x = 37,064 × 37,064
4. Step 4: Simplify right side
   24,574x = 1,373,740,096
5. Step 5: Solve for x
   x = 1,373,740,096/24,574
6. Step 6: Final answer
   x = 55,902.18