Finding the Third Proportional to 38,378 and 59,502

Step by Step Solution

1. Step 1: Write the proportion equation
   38,378 : 59,502 = 59,502 : x
2. Step 2: Convert to fraction form
   38,378/59,502 = 59,502/x
3. Step 3: Cross multiply
   38,378x = 59,502 × 59,502
4. Step 4: Simplify right side
   38,378x = 3,540,488,004
5. Step 5: Solve for x
   x = 3,540,488,004/38,378
6. Step 6: Final answer
   x = 92,253.06