Finding the Third Proportional to 38,178 and 59,448

Step by Step Solution

1. Step 1: Write the proportion equation
   38,178 : 59,448 = 59,448 : x
2. Step 2: Convert to fraction form
   38,178/59,448 = 59,448/x
3. Step 3: Cross multiply
   38,178x = 59,448 × 59,448
4. Step 4: Simplify right side
   38,178x = 3,534,064,704
5. Step 5: Solve for x
   x = 3,534,064,704/38,178
6. Step 6: Final answer
   x = 92,568.09