Finding the Third Proportional to 38,314 and 59,176

Step by Step Solution

1. Step 1: Write the proportion equation
   38,314 : 59,176 = 59,176 : x
2. Step 2: Convert to fraction form
   38,314/59,176 = 59,176/x
3. Step 3: Cross multiply
   38,314x = 59,176 × 59,176
4. Step 4: Simplify right side
   38,314x = 3,501,798,976
5. Step 5: Solve for x
   x = 3,501,798,976/38,314
6. Step 6: Final answer
   x = 91,397.37