Finding the Third Proportional to 9,902.25 and 13,597.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,902.25 : 13,597.88 = 13,597.88 : x
2. Step 2: Convert to fraction form
   9,902.25/13,597.88 = 13,597.88/x
3. Step 3: Cross multiply
   9,902.25x = 13,597.88 × 13,597.88
4. Step 4: Simplify right side
   9,902.25x = 184,902,204.52
5. Step 5: Solve for x
   x = 184,902,204.52/9,902.25
6. Step 6: Final answer
   x = 18,672.75