Finding the Third Proportional to 30,842 and 64,108

Step by Step Solution

1. Step 1: Write the proportion equation
   30,842 : 64,108 = 64,108 : x
2. Step 2: Convert to fraction form
   30,842/64,108 = 64,108/x
3. Step 3: Cross multiply
   30,842x = 64,108 × 64,108
4. Step 4: Simplify right side
   30,842x = 4,109,835,664
5. Step 5: Solve for x
   x = 4,109,835,664/30,842
6. Step 6: Final answer
   x = 133,254.51