Finding the Third Proportional to 38,426 and 59,344

Step by Step Solution

1. Step 1: Write the proportion equation
   38,426 : 59,344 = 59,344 : x
2. Step 2: Convert to fraction form
   38,426/59,344 = 59,344/x
3. Step 3: Cross multiply
   38,426x = 59,344 × 59,344
4. Step 4: Simplify right side
   38,426x = 3,521,710,336
5. Step 5: Solve for x
   x = 3,521,710,336/38,426
6. Step 6: Final answer
   x = 91,649.15