Finding the Third Proportional to 31,132 and 47,607

Step by Step Solution

1. Step 1: Write the proportion equation
   31,132 : 47,607 = 47,607 : x
2. Step 2: Convert to fraction form
   31,132/47,607 = 47,607/x
3. Step 3: Cross multiply
   31,132x = 47,607 × 47,607
4. Step 4: Simplify right side
   31,132x = 2,266,426,449
5. Step 5: Solve for x
   x = 2,266,426,449/31,132
6. Step 6: Final answer
   x = 72,800.54