Finding the Third Proportional to 64,977 and 103,380

Step by Step Solution

1. Step 1: Write the proportion equation
   64,977 : 103,380 = 103,380 : x
2. Step 2: Convert to fraction form
   64,977/103,380 = 103,380/x
3. Step 3: Cross multiply
   64,977x = 103,380 × 103,380
4. Step 4: Simplify right side
   64,977x = 10,687,424,400
5. Step 5: Solve for x
   x = 10,687,424,400/64,977
6. Step 6: Final answer
   x = 164,480.11