Finding the Third Proportional to 37,080 and 57,420

Step by Step Solution

1. Step 1: Write the proportion equation
   37,080 : 57,420 = 57,420 : x
2. Step 2: Convert to fraction form
   37,080/57,420 = 57,420/x
3. Step 3: Cross multiply
   37,080x = 57,420 × 57,420
4. Step 4: Simplify right side
   37,080x = 3,297,056,400
5. Step 5: Solve for x
   x = 3,297,056,400/37,080
6. Step 6: Final answer
   x = 88,917.38