Finding the Third Proportional to 34,769.25 and 75,081.38

Step by Step Solution

1. Step 1: Write the proportion equation
   34,769.25 : 75,081.38 = 75,081.38 : x
2. Step 2: Convert to fraction form
   34,769.25/75,081.38 = 75,081.38/x
3. Step 3: Cross multiply
   34,769.25x = 75,081.38 × 75,081.38
4. Step 4: Simplify right side
   34,769.25x = 5,637,212,871.89
5. Step 5: Solve for x
   x = 5,637,212,871.89/34,769.25
6. Step 6: Final answer
   x = 162,132.14