Finding the Third Proportional to 38,175 and 59,444

Step by Step Solution

1. Step 1: Write the proportion equation
   38,175 : 59,444 = 59,444 : x
2. Step 2: Convert to fraction form
   38,175/59,444 = 59,444/x
3. Step 3: Cross multiply
   38,175x = 59,444 × 59,444
4. Step 4: Simplify right side
   38,175x = 3,533,589,136
5. Step 5: Solve for x
   x = 3,533,589,136/38,175
6. Step 6: Final answer
   x = 92,562.91