Finding the Third Proportional to 38,838 and 59,386

Step by Step Solution

1. Step 1: Write the proportion equation
   38,838 : 59,386 = 59,386 : x
2. Step 2: Convert to fraction form
   38,838/59,386 = 59,386/x
3. Step 3: Cross multiply
   38,838x = 59,386 × 59,386
4. Step 4: Simplify right side
   38,838x = 3,526,696,996
5. Step 5: Solve for x
   x = 3,526,696,996/38,838
6. Step 6: Final answer
   x = 90,805.32