Finding the Third Proportional to 38,352 and 59,238

Step by Step Solution

1. Step 1: Write the proportion equation
   38,352 : 59,238 = 59,238 : x
2. Step 2: Convert to fraction form
   38,352/59,238 = 59,238/x
3. Step 3: Cross multiply
   38,352x = 59,238 × 59,238
4. Step 4: Simplify right side
   38,352x = 3,509,140,644
5. Step 5: Solve for x
   x = 3,509,140,644/38,352
6. Step 6: Final answer
   x = 91,498.24