Finding the Third Proportional to 17,877.94 and 26,262.56

Step by Step Solution

1. Step 1: Write the proportion equation
   17,877.94 : 26,262.56 = 26,262.56 : x
2. Step 2: Convert to fraction form
   17,877.94/26,262.56 = 26,262.56/x
3. Step 3: Cross multiply
   17,877.94x = 26,262.56 × 26,262.56
4. Step 4: Simplify right side
   17,877.94x = 689,722,189.07
5. Step 5: Solve for x
   x = 689,722,189.07/17,877.94
6. Step 6: Final answer
   x = 38,579.52