Finding the Third Proportional to 31,538 and 47,032

Step by Step Solution

1. Step 1: Write the proportion equation
   31,538 : 47,032 = 47,032 : x
2. Step 2: Convert to fraction form
   31,538/47,032 = 47,032/x
3. Step 3: Cross multiply
   31,538x = 47,032 × 47,032
4. Step 4: Simplify right side
   31,538x = 2,212,009,024
5. Step 5: Solve for x
   x = 2,212,009,024/31,538
6. Step 6: Final answer
   x = 70,137.90