Finding the Third Proportional to 32,032 and 67,756

Step by Step Solution

1. Step 1: Write the proportion equation
   32,032 : 67,756 = 67,756 : x
2. Step 2: Convert to fraction form
   32,032/67,756 = 67,756/x
3. Step 3: Cross multiply
   32,032x = 67,756 × 67,756
4. Step 4: Simplify right side
   32,032x = 4,590,875,536
5. Step 5: Solve for x
   x = 4,590,875,536/32,032
6. Step 6: Final answer
   x = 143,321.54