Finding the Third Proportional to 31,522 and 47,658

Step by Step Solution

1. Step 1: Write the proportion equation
   31,522 : 47,658 = 47,658 : x
2. Step 2: Convert to fraction form
   31,522/47,658 = 47,658/x
3. Step 3: Cross multiply
   31,522x = 47,658 × 47,658
4. Step 4: Simplify right side
   31,522x = 2,271,284,964
5. Step 5: Solve for x
   x = 2,271,284,964/31,522
6. Step 6: Final answer
   x = 72,053.96