Finding the Third Proportional to 32,815 and 67,014

Step by Step Solution

1. Step 1: Write the proportion equation
   32,815 : 67,014 = 67,014 : x
2. Step 2: Convert to fraction form
   32,815/67,014 = 67,014/x
3. Step 3: Cross multiply
   32,815x = 67,014 × 67,014
4. Step 4: Simplify right side
   32,815x = 4,490,876,196
5. Step 5: Solve for x
   x = 4,490,876,196/32,815
6. Step 6: Final answer
   x = 136,854.37