Finding the Third Proportional to 2,165.63 and 4,677.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165.63 : 4,677.38 = 4,677.38 : x
2. Step 2: Convert to fraction form
   2,165.63/4,677.38 = 4,677.38/x
3. Step 3: Cross multiply
   2,165.63x = 4,677.38 × 4,677.38
4. Step 4: Simplify right side
   2,165.63x = 21,877,836.89
5. Step 5: Solve for x
   x = 21,877,836.89/2,165.63
6. Step 6: Final answer
   x = 10,102.32