Finding the Third Proportional to 9,848 and 17,680

Step by Step Solution

1. Step 1: Write the proportion equation
   9,848 : 17,680 = 17,680 : x
2. Step 2: Convert to fraction form
   9,848/17,680 = 17,680/x
3. Step 3: Cross multiply
   9,848x = 17,680 × 17,680
4. Step 4: Simplify right side
   9,848x = 312,582,400
5. Step 5: Solve for x
   x = 312,582,400/9,848
6. Step 6: Final answer
   x = 31,740.70