Finding the Third Proportional to 30,084 and 64,194

Step by Step Solution

1. Step 1: Write the proportion equation
   30,084 : 64,194 = 64,194 : x
2. Step 2: Convert to fraction form
   30,084/64,194 = 64,194/x
3. Step 3: Cross multiply
   30,084x = 64,194 × 64,194
4. Step 4: Simplify right side
   30,084x = 4,120,869,636
5. Step 5: Solve for x
   x = 4,120,869,636/30,084
6. Step 6: Final answer
   x = 136,978.78