Finding the Third Proportional to 7,765.56 and 11,071.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,765.56 : 11,071.69 = 11,071.69 : x
2. Step 2: Convert to fraction form
   7,765.56/11,071.69 = 11,071.69/x
3. Step 3: Cross multiply
   7,765.56x = 11,071.69 × 11,071.69
4. Step 4: Simplify right side
   7,765.56x = 122,582,264.10
5. Step 5: Solve for x
   x = 122,582,264.10/7,765.56
6. Step 6: Final answer
   x = 15,785.38