Finding the Third Proportional to 42,642 and 63,968

Step by Step Solution

1. Step 1: Write the proportion equation
   42,642 : 63,968 = 63,968 : x
2. Step 2: Convert to fraction form
   42,642/63,968 = 63,968/x
3. Step 3: Cross multiply
   42,642x = 63,968 × 63,968
4. Step 4: Simplify right side
   42,642x = 4,091,905,024
5. Step 5: Solve for x
   x = 4,091,905,024/42,642
6. Step 6: Final answer
   x = 95,959.50