Finding the Third Proportional to 4,655.25 and 7,061.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,655.25 : 7,061.63 = 7,061.63 : x
2. Step 2: Convert to fraction form
   4,655.25/7,061.63 = 7,061.63/x
3. Step 3: Cross multiply
   4,655.25x = 7,061.63 × 7,061.63
4. Step 4: Simplify right side
   4,655.25x = 49,866,547.64
5. Step 5: Solve for x
   x = 49,866,547.64/4,655.25
6. Step 6: Final answer
   x = 10,711.89