Finding the Third Proportional to 64,807.50 and 105,825

Step by Step Solution

1. Step 1: Write the proportion equation
   64,807.50 : 105,825 = 105,825 : x
2. Step 2: Convert to fraction form
   64,807.50/105,825 = 105,825/x
3. Step 3: Cross multiply
   64,807.50x = 105,825 × 105,825
4. Step 4: Simplify right side
   64,807.50x = 11,198,930,625
5. Step 5: Solve for x
   x = 11,198,930,625/64,807.50
6. Step 6: Final answer
   x = 172,803.00