Finding the Third Proportional to 30,338 and 64,892

Step by Step Solution

1. Step 1: Write the proportion equation
   30,338 : 64,892 = 64,892 : x
2. Step 2: Convert to fraction form
   30,338/64,892 = 64,892/x
3. Step 3: Cross multiply
   30,338x = 64,892 × 64,892
4. Step 4: Simplify right side
   30,338x = 4,210,971,664
5. Step 5: Solve for x
   x = 4,210,971,664/30,338
6. Step 6: Final answer
   x = 138,801.89