Finding the Third Proportional to 23,634 and 37,080

Step by Step Solution

1. Step 1: Write the proportion equation
   23,634 : 37,080 = 37,080 : x
2. Step 2: Convert to fraction form
   23,634/37,080 = 37,080/x
3. Step 3: Cross multiply
   23,634x = 37,080 × 37,080
4. Step 4: Simplify right side
   23,634x = 1,374,926,400
5. Step 5: Solve for x
   x = 1,374,926,400/23,634
6. Step 6: Final answer
   x = 58,175.78