Finding the Third Proportional to 41,863.50 and 63,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,863.50 : 63,769.50 = 63,769.50 : x
2. Step 2: Convert to fraction form
   41,863.50/63,769.50 = 63,769.50/x
3. Step 3: Cross multiply
   41,863.50x = 63,769.50 × 63,769.50
4. Step 4: Simplify right side
   41,863.50x = 4,066,549,130.25
5. Step 5: Solve for x
   x = 4,066,549,130.25/41,863.50
6. Step 6: Final answer
   x = 97,138.30