Finding the Third Proportional to 30,064 and 64,298

Step by Step Solution

1. Step 1: Write the proportion equation
   30,064 : 64,298 = 64,298 : x
2. Step 2: Convert to fraction form
   30,064/64,298 = 64,298/x
3. Step 3: Cross multiply
   30,064x = 64,298 × 64,298
4. Step 4: Simplify right side
   30,064x = 4,134,232,804
5. Step 5: Solve for x
   x = 4,134,232,804/30,064
6. Step 6: Final answer
   x = 137,514.40