Finding the Third Proportional to 5,141.81 and 7,700.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,141.81 : 7,700.06 = 7,700.06 : x
2. Step 2: Convert to fraction form
   5,141.81/7,700.06 = 7,700.06/x
3. Step 3: Cross multiply
   5,141.81x = 7,700.06 × 7,700.06
4. Step 4: Simplify right side
   5,141.81x = 59,290,962.50
5. Step 5: Solve for x
   x = 59,290,962.50/5,141.81
6. Step 6: Final answer
   x = 11,531.14