Finding the Third Proportional to 10,477.69 and 13,587.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,477.69 : 13,587.75 = 13,587.75 : x
2. Step 2: Convert to fraction form
   10,477.69/13,587.75 = 13,587.75/x
3. Step 3: Cross multiply
   10,477.69x = 13,587.75 × 13,587.75
4. Step 4: Simplify right side
   10,477.69x = 184,626,950.06
5. Step 5: Solve for x
   x = 184,626,950.06/10,477.69
6. Step 6: Final answer
   x = 17,620.96