Finding the Third Proportional to 64,793.50 and 105,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,793.50 : 105,802.50 = 105,802.50 : x
2. Step 2: Convert to fraction form
   64,793.50/105,802.50 = 105,802.50/x
3. Step 3: Cross multiply
   64,793.50x = 105,802.50 × 105,802.50
4. Step 4: Simplify right side
   64,793.50x = 11,194,169,006.25
5. Step 5: Solve for x
   x = 11,194,169,006.25/64,793.50
6. Step 6: Final answer
   x = 172,766.85