Finding the Third Proportional to 64,883 and 82,906

Step by Step Solution

1. Step 1: Write the proportion equation
   64,883 : 82,906 = 82,906 : x
2. Step 2: Convert to fraction form
   64,883/82,906 = 82,906/x
3. Step 3: Cross multiply
   64,883x = 82,906 × 82,906
4. Step 4: Simplify right side
   64,883x = 6,873,404,836
5. Step 5: Solve for x
   x = 6,873,404,836/64,883
6. Step 6: Final answer
   x = 105,935.37