Finding the Third Proportional to 1,782.56 and 3,875.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782.56 : 3,875.91 = 3,875.91 : x
2. Step 2: Convert to fraction form
   1,782.56/3,875.91 = 3,875.91/x
3. Step 3: Cross multiply
   1,782.56x = 3,875.91 × 3,875.91
4. Step 4: Simplify right side
   1,782.56x = 15,022,649.26
5. Step 5: Solve for x
   x = 15,022,649.26/1,782.56
6. Step 6: Final answer
   x = 8,427.56