Finding the Third Proportional to 9,688.50 and 21,125.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.50 : 21,125.25 = 21,125.25 : x
2. Step 2: Convert to fraction form
   9,688.50/21,125.25 = 21,125.25/x
3. Step 3: Cross multiply
   9,688.50x = 21,125.25 × 21,125.25
4. Step 4: Simplify right side
   9,688.50x = 446,276,187.56
5. Step 5: Solve for x
   x = 446,276,187.56/9,688.50
6. Step 6: Final answer
   x = 46,062.46