Finding the Third Proportional to 7,779.80 and 10,274.34

Step by Step Solution

1. Step 1: Write the proportion equation
   7,779.80 : 10,274.34 = 10,274.34 : x
2. Step 2: Convert to fraction form
   7,779.80/10,274.34 = 10,274.34/x
3. Step 3: Cross multiply
   7,779.80x = 10,274.34 × 10,274.34
4. Step 4: Simplify right side
   7,779.80x = 105,562,139.49
5. Step 5: Solve for x
   x = 105,562,139.49/7,779.80
6. Step 6: Final answer
   x = 13,568.75