Finding the Third Proportional to 31,616 and 45,952

Step by Step Solution

1. Step 1: Write the proportion equation
   31,616 : 45,952 = 45,952 : x
2. Step 2: Convert to fraction form
   31,616/45,952 = 45,952/x
3. Step 3: Cross multiply
   31,616x = 45,952 × 45,952
4. Step 4: Simplify right side
   31,616x = 2,111,586,304
5. Step 5: Solve for x
   x = 2,111,586,304/31,616
6. Step 6: Final answer
   x = 66,788.53