Finding the Third Proportional to 23,769 and 37,635

Step by Step Solution

1. Step 1: Write the proportion equation
   23,769 : 37,635 = 37,635 : x
2. Step 2: Convert to fraction form
   23,769/37,635 = 37,635/x
3. Step 3: Cross multiply
   23,769x = 37,635 × 37,635
4. Step 4: Simplify right side
   23,769x = 1,416,393,225
5. Step 5: Solve for x
   x = 1,416,393,225/23,769
6. Step 6: Final answer
   x = 59,589.94