Finding the Third Proportional to 2,602.76 and 5,125.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,602.76 : 5,125.78 = 5,125.78 : x
2. Step 2: Convert to fraction form
   2,602.76/5,125.78 = 5,125.78/x
3. Step 3: Cross multiply
   2,602.76x = 5,125.78 × 5,125.78
4. Step 4: Simplify right side
   2,602.76x = 26,273,633.42
5. Step 5: Solve for x
   x = 26,273,633.42/2,602.76
6. Step 6: Final answer
   x = 10,094.54