Finding the Third Proportional to 37,892 and 57,364

Step by Step Solution

1. Step 1: Write the proportion equation
   37,892 : 57,364 = 57,364 : x
2. Step 2: Convert to fraction form
   37,892/57,364 = 57,364/x
3. Step 3: Cross multiply
   37,892x = 57,364 × 57,364
4. Step 4: Simplify right side
   37,892x = 3,290,628,496
5. Step 5: Solve for x
   x = 3,290,628,496/37,892
6. Step 6: Final answer
   x = 86,842.30