Finding the Third Proportional to 32,077 and 69,977

Step by Step Solution

1. Step 1: Write the proportion equation
   32,077 : 69,977 = 69,977 : x
2. Step 2: Convert to fraction form
   32,077/69,977 = 69,977/x
3. Step 3: Cross multiply
   32,077x = 69,977 × 69,977
4. Step 4: Simplify right side
   32,077x = 4,896,780,529
5. Step 5: Solve for x
   x = 4,896,780,529/32,077
6. Step 6: Final answer
   x = 152,657.06