Finding the Third Proportional to 41,946 and 64,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,946 : 64,378.50 = 64,378.50 : x
2. Step 2: Convert to fraction form
   41,946/64,378.50 = 64,378.50/x
3. Step 3: Cross multiply
   41,946x = 64,378.50 × 64,378.50
4. Step 4: Simplify right side
   41,946x = 4,144,591,262.25
5. Step 5: Solve for x
   x = 4,144,591,262.25/41,946
6. Step 6: Final answer
   x = 98,807.78