Finding the Third Proportional to 34,863.75 and 75,522.38

Step by Step Solution

1. Step 1: Write the proportion equation
   34,863.75 : 75,522.38 = 75,522.38 : x
2. Step 2: Convert to fraction form
   34,863.75/75,522.38 = 75,522.38/x
3. Step 3: Cross multiply
   34,863.75x = 75,522.38 × 75,522.38
4. Step 4: Simplify right side
   34,863.75x = 5,703,629,125.64
5. Step 5: Solve for x
   x = 5,703,629,125.64/34,863.75
6. Step 6: Final answer
   x = 163,597.69