Finding the Third Proportional to 38,378 and 59,208

Step by Step Solution

1. Step 1: Write the proportion equation
   38,378 : 59,208 = 59,208 : x
2. Step 2: Convert to fraction form
   38,378/59,208 = 59,208/x
3. Step 3: Cross multiply
   38,378x = 59,208 × 59,208
4. Step 4: Simplify right side
   38,378x = 3,505,587,264
5. Step 5: Solve for x
   x = 3,505,587,264/38,378
6. Step 6: Final answer
   x = 91,343.67