Finding the Third Proportional to 30,157 and 64,322

Step by Step Solution

1. Step 1: Write the proportion equation
   30,157 : 64,322 = 64,322 : x
2. Step 2: Convert to fraction form
   30,157/64,322 = 64,322/x
3. Step 3: Cross multiply
   30,157x = 64,322 × 64,322
4. Step 4: Simplify right side
   30,157x = 4,137,319,684
5. Step 5: Solve for x
   x = 4,137,319,684/30,157
6. Step 6: Final answer
   x = 137,192.68