Finding the Third Proportional to 40,712 and 64,762

Step by Step Solution

1. Step 1: Write the proportion equation
   40,712 : 64,762 = 64,762 : x
2. Step 2: Convert to fraction form
   40,712/64,762 = 64,762/x
3. Step 3: Cross multiply
   40,712x = 64,762 × 64,762
4. Step 4: Simplify right side
   40,712x = 4,194,116,644
5. Step 5: Solve for x
   x = 4,194,116,644/40,712
6. Step 6: Final answer
   x = 103,019.17