Finding the Third Proportional to 30,964 and 65,924

Step by Step Solution

1. Step 1: Write the proportion equation
   30,964 : 65,924 = 65,924 : x
2. Step 2: Convert to fraction form
   30,964/65,924 = 65,924/x
3. Step 3: Cross multiply
   30,964x = 65,924 × 65,924
4. Step 4: Simplify right side
   30,964x = 4,345,973,776
5. Step 5: Solve for x
   x = 4,345,973,776/30,964
6. Step 6: Final answer
   x = 140,355.70