Finding the Third Proportional to 9,185.63 and 14,598.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.63 : 14,598.56 = 14,598.56 : x
2. Step 2: Convert to fraction form
   9,185.63/14,598.56 = 14,598.56/x
3. Step 3: Cross multiply
   9,185.63x = 14,598.56 × 14,598.56
4. Step 4: Simplify right side
   9,185.63x = 213,118,027.07
5. Step 5: Solve for x
   x = 213,118,027.07/9,185.63
6. Step 6: Final answer
   x = 23,201.25