Finding the Third Proportional to 35,197 and 76,954

Step by Step Solution

1. Step 1: Write the proportion equation
   35,197 : 76,954 = 76,954 : x
2. Step 2: Convert to fraction form
   35,197/76,954 = 76,954/x
3. Step 3: Cross multiply
   35,197x = 76,954 × 76,954
4. Step 4: Simplify right side
   35,197x = 5,921,918,116
5. Step 5: Solve for x
   x = 5,921,918,116/35,197
6. Step 6: Final answer
   x = 168,250.65