Finding the Third Proportional to 9,485.86 and 14,656.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,485.86 : 14,656.57 = 14,656.57 : x
2. Step 2: Convert to fraction form
   9,485.86/14,656.57 = 14,656.57/x
3. Step 3: Cross multiply
   9,485.86x = 14,656.57 × 14,656.57
4. Step 4: Simplify right side
   9,485.86x = 214,815,053.33
5. Step 5: Solve for x
   x = 214,815,053.33/9,485.86
6. Step 6: Final answer
   x = 22,645.82