Finding the Third Proportional to 9,962.25 and 21,677.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,962.25 : 21,677.25 = 21,677.25 : x
2. Step 2: Convert to fraction form
   9,962.25/21,677.25 = 21,677.25/x
3. Step 3: Cross multiply
   9,962.25x = 21,677.25 × 21,677.25
4. Step 4: Simplify right side
   9,962.25x = 469,903,167.56
5. Step 5: Solve for x
   x = 469,903,167.56/9,962.25
6. Step 6: Final answer
   x = 47,168.38