Finding the Third Proportional to 30,840 and 64,111

Step by Step Solution

1. Step 1: Write the proportion equation
   30,840 : 64,111 = 64,111 : x
2. Step 2: Convert to fraction form
   30,840/64,111 = 64,111/x
3. Step 3: Cross multiply
   30,840x = 64,111 × 64,111
4. Step 4: Simplify right side
   30,840x = 4,110,220,321
5. Step 5: Solve for x
   x = 4,110,220,321/30,840
6. Step 6: Final answer
   x = 133,275.63