Finding the Third Proportional to 40,999.50 and 64,766.25

Step by Step Solution

1. Step 1: Write the proportion equation
   40,999.50 : 64,766.25 = 64,766.25 : x
2. Step 2: Convert to fraction form
   40,999.50/64,766.25 = 64,766.25/x
3. Step 3: Cross multiply
   40,999.50x = 64,766.25 × 64,766.25
4. Step 4: Simplify right side
   40,999.50x = 4,194,667,139.06
5. Step 5: Solve for x
   x = 4,194,667,139.06/40,999.50
6. Step 6: Final answer
   x = 102,310.20