Finding the Third Proportional to 9,706.50 and 21,375

Step by Step Solution

1. Step 1: Write the proportion equation
   9,706.50 : 21,375 = 21,375 : x
2. Step 2: Convert to fraction form
   9,706.50/21,375 = 21,375/x
3. Step 3: Cross multiply
   9,706.50x = 21,375 × 21,375
4. Step 4: Simplify right side
   9,706.50x = 456,890,625
5. Step 5: Solve for x
   x = 456,890,625/9,706.50
6. Step 6: Final answer
   x = 47,070.58