Finding the Third Proportional to 7,838.17 and 10,770.55

Step by Step Solution

1. Step 1: Write the proportion equation
   7,838.17 : 10,770.55 = 10,770.55 : x
2. Step 2: Convert to fraction form
   7,838.17/10,770.55 = 10,770.55/x
3. Step 3: Cross multiply
   7,838.17x = 10,770.55 × 10,770.55
4. Step 4: Simplify right side
   7,838.17x = 116,004,701.02
5. Step 5: Solve for x
   x = 116,004,701.02/7,838.17
6. Step 6: Final answer
   x = 14,799.97