Finding the Third Proportional to 1,886.63 and 2,775.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,886.63 : 2,775.94 = 2,775.94 : x
2. Step 2: Convert to fraction form
   1,886.63/2,775.94 = 2,775.94/x
3. Step 3: Cross multiply
   1,886.63x = 2,775.94 × 2,775.94
4. Step 4: Simplify right side
   1,886.63x = 7,705,829.00
5. Step 5: Solve for x
   x = 7,705,829.00/1,886.63
6. Step 6: Final answer
   x = 4,084.45