Finding the Third Proportional to 7,705.13 and 13,501.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,705.13 : 13,501.69 = 13,501.69 : x
2. Step 2: Convert to fraction form
   7,705.13/13,501.69 = 13,501.69/x
3. Step 3: Cross multiply
   7,705.13x = 13,501.69 × 13,501.69
4. Step 4: Simplify right side
   7,705.13x = 182,295,565.35
5. Step 5: Solve for x
   x = 182,295,565.35/7,705.13
6. Step 6: Final answer
   x = 23,659.00