Finding the Third Proportional to 9,735.75 and 13,705.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,735.75 : 13,705.88 = 13,705.88 : x
2. Step 2: Convert to fraction form
   9,735.75/13,705.88 = 13,705.88/x
3. Step 3: Cross multiply
   9,735.75x = 13,705.88 × 13,705.88
4. Step 4: Simplify right side
   9,735.75x = 187,851,009.52
5. Step 5: Solve for x
   x = 187,851,009.52/9,735.75
6. Step 6: Final answer
   x = 19,294.97