Finding the Third Proportional to 64,829 and 105,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,829 : 105,857.50 = 105,857.50 : x
2. Step 2: Convert to fraction form
   64,829/105,857.50 = 105,857.50/x
3. Step 3: Cross multiply
   64,829x = 105,857.50 × 105,857.50
4. Step 4: Simplify right side
   64,829x = 11,205,810,306.25
5. Step 5: Solve for x
   x = 11,205,810,306.25/64,829
6. Step 6: Final answer
   x = 172,851.81