Finding the Third Proportional to 31,316 and 65,221

Step by Step Solution

1. Step 1: Write the proportion equation
   31,316 : 65,221 = 65,221 : x
2. Step 2: Convert to fraction form
   31,316/65,221 = 65,221/x
3. Step 3: Cross multiply
   31,316x = 65,221 × 65,221
4. Step 4: Simplify right side
   31,316x = 4,253,778,841
5. Step 5: Solve for x
   x = 4,253,778,841/31,316
6. Step 6: Final answer
   x = 135,834.04