Finding the Third Proportional to 59,766 and 83,772

Step by Step Solution

1. Step 1: Write the proportion equation
   59,766 : 83,772 = 83,772 : x
2. Step 2: Convert to fraction form
   59,766/83,772 = 83,772/x
3. Step 3: Cross multiply
   59,766x = 83,772 × 83,772
4. Step 4: Simplify right side
   59,766x = 7,017,747,984
5. Step 5: Solve for x
   x = 7,017,747,984/59,766
6. Step 6: Final answer
   x = 117,420.41