Finding the Third Proportional to 38,327 and 57,254

Step by Step Solution

1. Step 1: Write the proportion equation
   38,327 : 57,254 = 57,254 : x
2. Step 2: Convert to fraction form
   38,327/57,254 = 57,254/x
3. Step 3: Cross multiply
   38,327x = 57,254 × 57,254
4. Step 4: Simplify right side
   38,327x = 3,278,020,516
5. Step 5: Solve for x
   x = 3,278,020,516/38,327
6. Step 6: Final answer
   x = 85,527.71