Finding the Third Proportional to 34,698.38 and 75,269.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,698.38 : 75,269.25 = 75,269.25 : x
2. Step 2: Convert to fraction form
   34,698.38/75,269.25 = 75,269.25/x
3. Step 3: Cross multiply
   34,698.38x = 75,269.25 × 75,269.25
4. Step 4: Simplify right side
   34,698.38x = 5,665,459,995.56
5. Step 5: Solve for x
   x = 5,665,459,995.56/34,698.38
6. Step 6: Final answer
   x = 163,277.39