Finding the Third Proportional to 30,196 and 64,046

Step by Step Solution

1. Step 1: Write the proportion equation
   30,196 : 64,046 = 64,046 : x
2. Step 2: Convert to fraction form
   30,196/64,046 = 64,046/x
3. Step 3: Cross multiply
   30,196x = 64,046 × 64,046
4. Step 4: Simplify right side
   30,196x = 4,101,890,116
5. Step 5: Solve for x
   x = 4,101,890,116/30,196
6. Step 6: Final answer
   x = 135,842.17