Finding the Third Proportional to 30,786 and 64,164

Step by Step Solution

1. Step 1: Write the proportion equation
   30,786 : 64,164 = 64,164 : x
2. Step 2: Convert to fraction form
   30,786/64,164 = 64,164/x
3. Step 3: Cross multiply
   30,786x = 64,164 × 64,164
4. Step 4: Simplify right side
   30,786x = 4,117,018,896
5. Step 5: Solve for x
   x = 4,117,018,896/30,786
6. Step 6: Final answer
   x = 133,730.23