Finding the Third Proportional to 35,116 and 64,642

Step by Step Solution

1. Step 1: Write the proportion equation
   35,116 : 64,642 = 64,642 : x
2. Step 2: Convert to fraction form
   35,116/64,642 = 64,642/x
3. Step 3: Cross multiply
   35,116x = 64,642 × 64,642
4. Step 4: Simplify right side
   35,116x = 4,178,588,164
5. Step 5: Solve for x
   x = 4,178,588,164/35,116
6. Step 6: Final answer
   x = 118,993.85