Finding the Third Proportional to 42,590.81 and 89,589.38

Step by Step Solution

1. Step 1: Write the proportion equation
   42,590.81 : 89,589.38 = 89,589.38 : x
2. Step 2: Convert to fraction form
   42,590.81/89,589.38 = 89,589.38/x
3. Step 3: Cross multiply
   42,590.81x = 89,589.38 × 89,589.38
4. Step 4: Simplify right side
   42,590.81x = 8,026,256,112.89
5. Step 5: Solve for x
   x = 8,026,256,112.89/42,590.81
6. Step 6: Final answer
   x = 188,450.41