Finding the Third Proportional to 30,014 and 64,475

Step by Step Solution

1. Step 1: Write the proportion equation
   30,014 : 64,475 = 64,475 : x
2. Step 2: Convert to fraction form
   30,014/64,475 = 64,475/x
3. Step 3: Cross multiply
   30,014x = 64,475 × 64,475
4. Step 4: Simplify right side
   30,014x = 4,157,025,625
5. Step 5: Solve for x
   x = 4,157,025,625/30,014
6. Step 6: Final answer
   x = 138,502.89