Finding the Third Proportional to 30,548 and 64,714

Step by Step Solution

1. Step 1: Write the proportion equation
   30,548 : 64,714 = 64,714 : x
2. Step 2: Convert to fraction form
   30,548/64,714 = 64,714/x
3. Step 3: Cross multiply
   30,548x = 64,714 × 64,714
4. Step 4: Simplify right side
   30,548x = 4,187,901,796
5. Step 5: Solve for x
   x = 4,187,901,796/30,548
6. Step 6: Final answer
   x = 137,092.50