Finding the Third Proportional to 35,236 and 77,024

Step by Step Solution

1. Step 1: Write the proportion equation
   35,236 : 77,024 = 77,024 : x
2. Step 2: Convert to fraction form
   35,236/77,024 = 77,024/x
3. Step 3: Cross multiply
   35,236x = 77,024 × 77,024
4. Step 4: Simplify right side
   35,236x = 5,932,696,576
5. Step 5: Solve for x
   x = 5,932,696,576/35,236
6. Step 6: Final answer
   x = 168,370.32