Finding the Third Proportional to 30,464 and 64,808

Step by Step Solution

1. Step 1: Write the proportion equation
   30,464 : 64,808 = 64,808 : x
2. Step 2: Convert to fraction form
   30,464/64,808 = 64,808/x
3. Step 3: Cross multiply
   30,464x = 64,808 × 64,808
4. Step 4: Simplify right side
   30,464x = 4,200,076,864
5. Step 5: Solve for x
   x = 4,200,076,864/30,464
6. Step 6: Final answer
   x = 137,870.17