Finding the Third Proportional to 30,535 and 64,349

Step by Step Solution

1. Step 1: Write the proportion equation
   30,535 : 64,349 = 64,349 : x
2. Step 2: Convert to fraction form
   30,535/64,349 = 64,349/x
3. Step 3: Cross multiply
   30,535x = 64,349 × 64,349
4. Step 4: Simplify right side
   30,535x = 4,140,793,801
5. Step 5: Solve for x
   x = 4,140,793,801/30,535
6. Step 6: Final answer
   x = 135,608.12