Finding the Third Proportional to 38,788 and 59,309

Step by Step Solution

1. Step 1: Write the proportion equation
   38,788 : 59,309 = 59,309 : x
2. Step 2: Convert to fraction form
   38,788/59,309 = 59,309/x
3. Step 3: Cross multiply
   38,788x = 59,309 × 59,309
4. Step 4: Simplify right side
   38,788x = 3,517,557,481
5. Step 5: Solve for x
   x = 3,517,557,481/38,788
6. Step 6: Final answer
   x = 90,686.75