Finding the Third Proportional to 5,990.76 and 7,852.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,990.76 : 7,852.06 = 7,852.06 : x
2. Step 2: Convert to fraction form
   5,990.76/7,852.06 = 7,852.06/x
3. Step 3: Cross multiply
   5,990.76x = 7,852.06 × 7,852.06
4. Step 4: Simplify right side
   5,990.76x = 61,654,785.82
5. Step 5: Solve for x
   x = 61,654,785.82/5,990.76
6. Step 6: Final answer
   x = 10,291.65