Finding the Third Proportional to 29,977 and 65,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,977 : 65,664.50 = 65,664.50 : x
2. Step 2: Convert to fraction form
   29,977/65,664.50 = 65,664.50/x
3. Step 3: Cross multiply
   29,977x = 65,664.50 × 65,664.50
4. Step 4: Simplify right side
   29,977x = 4,311,826,560.25
5. Step 5: Solve for x
   x = 4,311,826,560.25/29,977
6. Step 6: Final answer
   x = 143,837.83