Finding the Third Proportional to 30,322 and 64,765

Step by Step Solution

1. Step 1: Write the proportion equation
   30,322 : 64,765 = 64,765 : x
2. Step 2: Convert to fraction form
   30,322/64,765 = 64,765/x
3. Step 3: Cross multiply
   30,322x = 64,765 × 64,765
4. Step 4: Simplify right side
   30,322x = 4,194,505,225
5. Step 5: Solve for x
   x = 4,194,505,225/30,322
6. Step 6: Final answer
   x = 138,332.08