Finding the Third Proportional to 32,201 and 67,898

Step by Step Solution

1. Step 1: Write the proportion equation
   32,201 : 67,898 = 67,898 : x
2. Step 2: Convert to fraction form
   32,201/67,898 = 67,898/x
3. Step 3: Cross multiply
   32,201x = 67,898 × 67,898
4. Step 4: Simplify right side
   32,201x = 4,610,138,404
5. Step 5: Solve for x
   x = 4,610,138,404/32,201
6. Step 6: Final answer
   x = 143,167.55