Finding the Third Proportional to 16,201 and 32,978

Step by Step Solution

1. Step 1: Write the proportion equation
   16,201 : 32,978 = 32,978 : x
2. Step 2: Convert to fraction form
   16,201/32,978 = 32,978/x
3. Step 3: Cross multiply
   16,201x = 32,978 × 32,978
4. Step 4: Simplify right side
   16,201x = 1,087,548,484
5. Step 5: Solve for x
   x = 1,087,548,484/16,201
6. Step 6: Final answer
   x = 67,128.48