Finding the Third Proportional to 37,152 and 51,968

Step by Step Solution

1. Step 1: Write the proportion equation
   37,152 : 51,968 = 51,968 : x
2. Step 2: Convert to fraction form
   37,152/51,968 = 51,968/x
3. Step 3: Cross multiply
   37,152x = 51,968 × 51,968
4. Step 4: Simplify right side
   37,152x = 2,700,673,024
5. Step 5: Solve for x
   x = 2,700,673,024/37,152
6. Step 6: Final answer
   x = 72,692.53