Finding the Third Proportional to 4,961 and 7,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,961 : 7,424.50 = 7,424.50 : x
2. Step 2: Convert to fraction form
   4,961/7,424.50 = 7,424.50/x
3. Step 3: Cross multiply
   4,961x = 7,424.50 × 7,424.50
4. Step 4: Simplify right side
   4,961x = 55,123,200.25
5. Step 5: Solve for x
   x = 55,123,200.25/4,961
6. Step 6: Final answer
   x = 11,111.31