Finding the Third Proportional to 35,946.75 and 78,103.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,946.75 : 78,103.38 = 78,103.38 : x
2. Step 2: Convert to fraction form
   35,946.75/78,103.38 = 78,103.38/x
3. Step 3: Cross multiply
   35,946.75x = 78,103.38 × 78,103.38
4. Step 4: Simplify right side
   35,946.75x = 6,100,137,186.39
5. Step 5: Solve for x
   x = 6,100,137,186.39/35,946.75
6. Step 6: Final answer
   x = 169,699.27