Finding the Third Proportional to 1,887.05 and 4,138.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,887.05 : 4,138.59 = 4,138.59 : x
2. Step 2: Convert to fraction form
   1,887.05/4,138.59 = 4,138.59/x
3. Step 3: Cross multiply
   1,887.05x = 4,138.59 × 4,138.59
4. Step 4: Simplify right side
   1,887.05x = 17,127,958.23
5. Step 5: Solve for x
   x = 17,127,958.23/1,887.05
6. Step 6: Final answer
   x = 9,076.59