Finding the Third Proportional to 42,678 and 64,607

Step by Step Solution

1. Step 1: Write the proportion equation
   42,678 : 64,607 = 64,607 : x
2. Step 2: Convert to fraction form
   42,678/64,607 = 64,607/x
3. Step 3: Cross multiply
   42,678x = 64,607 × 64,607
4. Step 4: Simplify right side
   42,678x = 4,174,064,449
5. Step 5: Solve for x
   x = 4,174,064,449/42,678
6. Step 6: Final answer
   x = 97,803.66