Finding the Third Proportional to 1,899.75 and 4,145.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,899.75 : 4,145.88 = 4,145.88 : x
2. Step 2: Convert to fraction form
   1,899.75/4,145.88 = 4,145.88/x
3. Step 3: Cross multiply
   1,899.75x = 4,145.88 × 4,145.88
4. Step 4: Simplify right side
   1,899.75x = 17,188,279.52
5. Step 5: Solve for x
   x = 17,188,279.52/1,899.75
6. Step 6: Final answer
   x = 9,047.65