Finding the Third Proportional to 1,899.75 and 3,875.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,899.75 : 3,875.63 = 3,875.63 : x
2. Step 2: Convert to fraction form
   1,899.75/3,875.63 = 3,875.63/x
3. Step 3: Cross multiply
   1,899.75x = 3,875.63 × 3,875.63
4. Step 4: Simplify right side
   1,899.75x = 15,020,469.14
5. Step 5: Solve for x
   x = 15,020,469.14/1,899.75
6. Step 6: Final answer
   x = 7,906.55