Finding the Third Proportional to 31,536 and 64,716

Step by Step Solution

1. Step 1: Write the proportion equation
   31,536 : 64,716 = 64,716 : x
2. Step 2: Convert to fraction form
   31,536/64,716 = 64,716/x
3. Step 3: Cross multiply
   31,536x = 64,716 × 64,716
4. Step 4: Simplify right side
   31,536x = 4,188,160,656
5. Step 5: Solve for x
   x = 4,188,160,656/31,536
6. Step 6: Final answer
   x = 132,805.70