Finding the Third Proportional to 3,002.63 and 4,210.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,002.63 : 4,210.88 = 4,210.88 : x
2. Step 2: Convert to fraction form
   3,002.63/4,210.88 = 4,210.88/x
3. Step 3: Cross multiply
   3,002.63x = 4,210.88 × 4,210.88
4. Step 4: Simplify right side
   3,002.63x = 17,731,468.27
5. Step 5: Solve for x
   x = 17,731,468.27/3,002.63
6. Step 6: Final answer
   x = 5,905.32