Finding the Third Proportional to 42,616 and 91,772

Step by Step Solution

1. Step 1: Write the proportion equation
   42,616 : 91,772 = 91,772 : x
2. Step 2: Convert to fraction form
   42,616/91,772 = 91,772/x
3. Step 3: Cross multiply
   42,616x = 91,772 × 91,772
4. Step 4: Simplify right side
   42,616x = 8,422,099,984
5. Step 5: Solve for x
   x = 8,422,099,984/42,616
6. Step 6: Final answer
   x = 197,627.65