Finding the Third Proportional to 1,577.81 and 3,463.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,577.81 : 3,463.31 = 3,463.31 : x
2. Step 2: Convert to fraction form
   1,577.81/3,463.31 = 3,463.31/x
3. Step 3: Cross multiply
   1,577.81x = 3,463.31 × 3,463.31
4. Step 4: Simplify right side
   1,577.81x = 11,994,533.47
5. Step 5: Solve for x
   x = 11,994,533.47/1,577.81
6. Step 6: Final answer
   x = 7,602.00