Finding the Third Proportional to 9,706.50 and 21,189.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,706.50 : 21,189.94 = 21,189.94 : x
2. Step 2: Convert to fraction form
   9,706.50/21,189.94 = 21,189.94/x
3. Step 3: Cross multiply
   9,706.50x = 21,189.94 × 21,189.94
4. Step 4: Simplify right side
   9,706.50x = 449,013,451.25
5. Step 5: Solve for x
   x = 449,013,451.25/9,706.50
6. Step 6: Final answer
   x = 46,259.05