Finding the Third Proportional to 1,052.63 and 2,215.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,052.63 : 2,215.88 = 2,215.88 : x
2. Step 2: Convert to fraction form
   1,052.63/2,215.88 = 2,215.88/x
3. Step 3: Cross multiply
   1,052.63x = 2,215.88 × 2,215.88
4. Step 4: Simplify right side
   1,052.63x = 4,910,102.02
5. Step 5: Solve for x
   x = 4,910,102.02/1,052.63
6. Step 6: Final answer
   x = 4,664.63