Finding the Third Proportional to 38,385 and 59,218

Step by Step Solution

1. Step 1: Write the proportion equation
   38,385 : 59,218 = 59,218 : x
2. Step 2: Convert to fraction form
   38,385/59,218 = 59,218/x
3. Step 3: Cross multiply
   38,385x = 59,218 × 59,218
4. Step 4: Simplify right side
   38,385x = 3,506,771,524
5. Step 5: Solve for x
   x = 3,506,771,524/38,385
6. Step 6: Final answer
   x = 91,357.86