Finding the Third Proportional to 32,926 and 72,971

Step by Step Solution

1. Step 1: Write the proportion equation
   32,926 : 72,971 = 72,971 : x
2. Step 2: Convert to fraction form
   32,926/72,971 = 72,971/x
3. Step 3: Cross multiply
   32,926x = 72,971 × 72,971
4. Step 4: Simplify right side
   32,926x = 5,324,766,841
5. Step 5: Solve for x
   x = 5,324,766,841/32,926
6. Step 6: Final answer
   x = 161,719.21