Finding the Third Proportional to 1,577.81 and 1,623.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,577.81 : 1,623.38 = 1,623.38 : x
2. Step 2: Convert to fraction form
   1,577.81/1,623.38 = 1,623.38/x
3. Step 3: Cross multiply
   1,577.81x = 1,623.38 × 1,623.38
4. Step 4: Simplify right side
   1,577.81x = 2,635,346.39
5. Step 5: Solve for x
   x = 2,635,346.39/1,577.81
6. Step 6: Final answer
   x = 1,670.25