Finding the Third Proportional to 37,968 and 56,641

Step by Step Solution

1. Step 1: Write the proportion equation
   37,968 : 56,641 = 56,641 : x
2. Step 2: Convert to fraction form
   37,968/56,641 = 56,641/x
3. Step 3: Cross multiply
   37,968x = 56,641 × 56,641
4. Step 4: Simplify right side
   37,968x = 3,208,202,881
5. Step 5: Solve for x
   x = 3,208,202,881/37,968
6. Step 6: Final answer
   x = 84,497.55