Finding the Third Proportional to 1,638.56 and 1,877.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.56 : 1,877.77 = 1,877.77 : x
2. Step 2: Convert to fraction form
   1,638.56/1,877.77 = 1,877.77/x
3. Step 3: Cross multiply
   1,638.56x = 1,877.77 × 1,877.77
4. Step 4: Simplify right side
   1,638.56x = 3,526,003.74
5. Step 5: Solve for x
   x = 3,526,003.74/1,638.56
6. Step 6: Final answer
   x = 2,151.89