Finding the Third Proportional to 64,866 and 82,885.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,866 : 82,885.50 = 82,885.50 : x
2. Step 2: Convert to fraction form
   64,866/82,885.50 = 82,885.50/x
3. Step 3: Cross multiply
   64,866x = 82,885.50 × 82,885.50
4. Step 4: Simplify right side
   64,866x = 6,870,006,110.25
5. Step 5: Solve for x
   x = 6,870,006,110.25/64,866
6. Step 6: Final answer
   x = 105,910.74