Finding the Third Proportional to 38,298 and 59,151

Step by Step Solution

1. Step 1: Write the proportion equation
   38,298 : 59,151 = 59,151 : x
2. Step 2: Convert to fraction form
   38,298/59,151 = 59,151/x
3. Step 3: Cross multiply
   38,298x = 59,151 × 59,151
4. Step 4: Simplify right side
   38,298x = 3,498,840,801
5. Step 5: Solve for x
   x = 3,498,840,801/38,298
6. Step 6: Final answer
   x = 91,358.32