Finding the Third Proportional to 10,977 and 14,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,977 : 14,761.50 = 14,761.50 : x
2. Step 2: Convert to fraction form
   10,977/14,761.50 = 14,761.50/x
3. Step 3: Cross multiply
   10,977x = 14,761.50 × 14,761.50
4. Step 4: Simplify right side
   10,977x = 217,901,882.25
5. Step 5: Solve for x
   x = 217,901,882.25/10,977
6. Step 6: Final answer
   x = 19,850.77