Finding the Third Proportional to 31,202 and 73,658

Step by Step Solution

1. Step 1: Write the proportion equation
   31,202 : 73,658 = 73,658 : x
2. Step 2: Convert to fraction form
   31,202/73,658 = 73,658/x
3. Step 3: Cross multiply
   31,202x = 73,658 × 73,658
4. Step 4: Simplify right side
   31,202x = 5,425,500,964
5. Step 5: Solve for x
   x = 5,425,500,964/31,202
6. Step 6: Final answer
   x = 173,883.12