Finding the Third Proportional to 2,172.94 and 4,754.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,172.94 : 4,754.25 = 4,754.25 : x
2. Step 2: Convert to fraction form
   2,172.94/4,754.25 = 4,754.25/x
3. Step 3: Cross multiply
   2,172.94x = 4,754.25 × 4,754.25
4. Step 4: Simplify right side
   2,172.94x = 22,602,893.06
5. Step 5: Solve for x
   x = 22,602,893.06/2,172.94
6. Step 6: Final answer
   x = 10,402.00