Finding the Third Proportional to 9,645.75 and 12,902.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.75 : 12,902.63 = 12,902.63 : x
2. Step 2: Convert to fraction form
   9,645.75/12,902.63 = 12,902.63/x
3. Step 3: Cross multiply
   9,645.75x = 12,902.63 × 12,902.63
4. Step 4: Simplify right side
   9,645.75x = 166,477,731.89
5. Step 5: Solve for x
   x = 166,477,731.89/9,645.75
6. Step 6: Final answer
   x = 17,259.18