Finding the Third Proportional to 34,740 and 37,980

Step by Step Solution

1. Step 1: Write the proportion equation
   34,740 : 37,980 = 37,980 : x
2. Step 2: Convert to fraction form
   34,740/37,980 = 37,980/x
3. Step 3: Cross multiply
   34,740x = 37,980 × 37,980
4. Step 4: Simplify right side
   34,740x = 1,442,480,400
5. Step 5: Solve for x
   x = 1,442,480,400/34,740
6. Step 6: Final answer
   x = 41,522.18