Finding the Third Proportional to 1,602.28 and 1,776.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,602.28 : 1,776.94 = 1,776.94 : x
2. Step 2: Convert to fraction form
   1,602.28/1,776.94 = 1,776.94/x
3. Step 3: Cross multiply
   1,602.28x = 1,776.94 × 1,776.94
4. Step 4: Simplify right side
   1,602.28x = 3,157,506.88
5. Step 5: Solve for x
   x = 3,157,506.88/1,602.28
6. Step 6: Final answer
   x = 1,970.63