Finding the Third Proportional to 41,784.50 and 64,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,784.50 : 64,728.50 = 64,728.50 : x
2. Step 2: Convert to fraction form
   41,784.50/64,728.50 = 64,728.50/x
3. Step 3: Cross multiply
   41,784.50x = 64,728.50 × 64,728.50
4. Step 4: Simplify right side
   41,784.50x = 4,189,778,712.25
5. Step 5: Solve for x
   x = 4,189,778,712.25/41,784.50
6. Step 6: Final answer
   x = 100,271.12