Finding the Third Proportional to 30,051 and 64,530

Step by Step Solution

1. Step 1: Write the proportion equation
   30,051 : 64,530 = 64,530 : x
2. Step 2: Convert to fraction form
   30,051/64,530 = 64,530/x
3. Step 3: Cross multiply
   30,051x = 64,530 × 64,530
4. Step 4: Simplify right side
   30,051x = 4,164,120,900
5. Step 5: Solve for x
   x = 4,164,120,900/30,051
6. Step 6: Final answer
   x = 138,568.46