Finding the Third Proportional to 17,784 and 38,848

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784 : 38,848 = 38,848 : x
2. Step 2: Convert to fraction form
   17,784/38,848 = 38,848/x
3. Step 3: Cross multiply
   17,784x = 38,848 × 38,848
4. Step 4: Simplify right side
   17,784x = 1,509,167,104
5. Step 5: Solve for x
   x = 1,509,167,104/17,784
6. Step 6: Final answer
   x = 84,860.95