Finding the Third Proportional to 38,172.38 and 85,727.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,172.38 : 85,727.25 = 85,727.25 : x
2. Step 2: Convert to fraction form
   38,172.38/85,727.25 = 85,727.25/x
3. Step 3: Cross multiply
   38,172.38x = 85,727.25 × 85,727.25
4. Step 4: Simplify right side
   38,172.38x = 7,349,161,392.56
5. Step 5: Solve for x
   x = 7,349,161,392.56/38,172.38
6. Step 6: Final answer
   x = 192,525.65