Finding the Third Proportional to 1,053 and 1,463.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,053 : 1,463.06 = 1,463.06 : x
2. Step 2: Convert to fraction form
   1,053/1,463.06 = 1,463.06/x
3. Step 3: Cross multiply
   1,053x = 1,463.06 × 1,463.06
4. Step 4: Simplify right side
   1,053x = 2,140,551.88
5. Step 5: Solve for x
   x = 2,140,551.88/1,053
6. Step 6: Final answer
   x = 2,032.81