Finding the Third Proportional to 49,356 and 64,802

Step by Step Solution

1. Step 1: Write the proportion equation
   49,356 : 64,802 = 64,802 : x
2. Step 2: Convert to fraction form
   49,356/64,802 = 64,802/x
3. Step 3: Cross multiply
   49,356x = 64,802 × 64,802
4. Step 4: Simplify right side
   49,356x = 4,199,299,204
5. Step 5: Solve for x
   x = 4,199,299,204/49,356
6. Step 6: Final answer
   x = 85,081.84