Finding the Third Proportional to 9,677.50 and 21,200

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.50 : 21,200 = 21,200 : x
2. Step 2: Convert to fraction form
   9,677.50/21,200 = 21,200/x
3. Step 3: Cross multiply
   9,677.50x = 21,200 × 21,200
4. Step 4: Simplify right side
   9,677.50x = 449,440,000
5. Step 5: Solve for x
   x = 449,440,000/9,677.50
6. Step 6: Final answer
   x = 46,441.75