Finding the Third Proportional to 9,191.25 and 13,784.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,191.25 : 13,784.63 = 13,784.63 : x
2. Step 2: Convert to fraction form
   9,191.25/13,784.63 = 13,784.63/x
3. Step 3: Cross multiply
   9,191.25x = 13,784.63 × 13,784.63
4. Step 4: Simplify right side
   9,191.25x = 190,015,886.39
5. Step 5: Solve for x
   x = 190,015,886.39/9,191.25
6. Step 6: Final answer
   x = 20,673.56