Finding the Third Proportional to 30,299 and 64,810

Step by Step Solution

1. Step 1: Write the proportion equation
   30,299 : 64,810 = 64,810 : x
2. Step 2: Convert to fraction form
   30,299/64,810 = 64,810/x
3. Step 3: Cross multiply
   30,299x = 64,810 × 64,810
4. Step 4: Simplify right side
   30,299x = 4,200,336,100
5. Step 5: Solve for x
   x = 4,200,336,100/30,299
6. Step 6: Final answer
   x = 138,629.53