Finding the Third Proportional to 31,476 and 46,080

Step by Step Solution

1. Step 1: Write the proportion equation
   31,476 : 46,080 = 46,080 : x
2. Step 2: Convert to fraction form
   31,476/46,080 = 46,080/x
3. Step 3: Cross multiply
   31,476x = 46,080 × 46,080
4. Step 4: Simplify right side
   31,476x = 2,123,366,400
5. Step 5: Solve for x
   x = 2,123,366,400/31,476
6. Step 6: Final answer
   x = 67,459.86