Finding the Third Proportional to 1,410.70 and 2,153.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.70 : 2,153.62 = 2,153.62 : x
2. Step 2: Convert to fraction form
   1,410.70/2,153.62 = 2,153.62/x
3. Step 3: Cross multiply
   1,410.70x = 2,153.62 × 2,153.62
4. Step 4: Simplify right side
   1,410.70x = 4,638,075.40
5. Step 5: Solve for x
   x = 4,638,075.40/1,410.70
6. Step 6: Final answer
   x = 3,287.79