Finding the Third Proportional to 30,789 and 64,170

Step by Step Solution

1. Step 1: Write the proportion equation
   30,789 : 64,170 = 64,170 : x
2. Step 2: Convert to fraction form
   30,789/64,170 = 64,170/x
3. Step 3: Cross multiply
   30,789x = 64,170 × 64,170
4. Step 4: Simplify right side
   30,789x = 4,117,788,900
5. Step 5: Solve for x
   x = 4,117,788,900/30,789
6. Step 6: Final answer
   x = 133,742.21