Finding the Third Proportional to 2,045.63 and 4,238.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,045.63 : 4,238.06 = 4,238.06 : x
2. Step 2: Convert to fraction form
   2,045.63/4,238.06 = 4,238.06/x
3. Step 3: Cross multiply
   2,045.63x = 4,238.06 × 4,238.06
4. Step 4: Simplify right side
   2,045.63x = 17,961,173.75
5. Step 5: Solve for x
   x = 17,961,173.75/2,045.63
6. Step 6: Final answer
   x = 8,780.29