Finding the Third Proportional to 32,046 and 67,786

Step by Step Solution

1. Step 1: Write the proportion equation
   32,046 : 67,786 = 67,786 : x
2. Step 2: Convert to fraction form
   32,046/67,786 = 67,786/x
3. Step 3: Cross multiply
   32,046x = 67,786 × 67,786
4. Step 4: Simplify right side
   32,046x = 4,594,941,796
5. Step 5: Solve for x
   x = 4,594,941,796/32,046
6. Step 6: Final answer
   x = 143,385.81