Finding the Third Proportional to 40,770 and 63,014

Step by Step Solution

1. Step 1: Write the proportion equation
   40,770 : 63,014 = 63,014 : x
2. Step 2: Convert to fraction form
   40,770/63,014 = 63,014/x
3. Step 3: Cross multiply
   40,770x = 63,014 × 63,014
4. Step 4: Simplify right side
   40,770x = 3,970,764,196
5. Step 5: Solve for x
   x = 3,970,764,196/40,770
6. Step 6: Final answer
   x = 97,394.27