Finding the Third Proportional to 30,678 and 64,892.25

Step by Step Solution

1. Step 1: Write the proportion equation
   30,678 : 64,892.25 = 64,892.25 : x
2. Step 2: Convert to fraction form
   30,678/64,892.25 = 64,892.25/x
3. Step 3: Cross multiply
   30,678x = 64,892.25 × 64,892.25
4. Step 4: Simplify right side
   30,678x = 4,211,004,110.06
5. Step 5: Solve for x
   x = 4,211,004,110.06/30,678
6. Step 6: Final answer
   x = 137,264.62