Finding the Third Proportional to 32,142 and 46,959

Step by Step Solution

1. Step 1: Write the proportion equation
   32,142 : 46,959 = 46,959 : x
2. Step 2: Convert to fraction form
   32,142/46,959 = 46,959/x
3. Step 3: Cross multiply
   32,142x = 46,959 × 46,959
4. Step 4: Simplify right side
   32,142x = 2,205,147,681
5. Step 5: Solve for x
   x = 2,205,147,681/32,142
6. Step 6: Final answer
   x = 68,606.42