Finding the Third Proportional to 30,139 and 64,651

Step by Step Solution

1. Step 1: Write the proportion equation
   30,139 : 64,651 = 64,651 : x
2. Step 2: Convert to fraction form
   30,139/64,651 = 64,651/x
3. Step 3: Cross multiply
   30,139x = 64,651 × 64,651
4. Step 4: Simplify right side
   30,139x = 4,179,751,801
5. Step 5: Solve for x
   x = 4,179,751,801/30,139
6. Step 6: Final answer
   x = 138,682.50