Finding the Third Proportional to 38,584 and 59,388

Step by Step Solution

1. Step 1: Write the proportion equation
   38,584 : 59,388 = 59,388 : x
2. Step 2: Convert to fraction form
   38,584/59,388 = 59,388/x
3. Step 3: Cross multiply
   38,584x = 59,388 × 59,388
4. Step 4: Simplify right side
   38,584x = 3,526,934,544
5. Step 5: Solve for x
   x = 3,526,934,544/38,584
6. Step 6: Final answer
   x = 91,409.25