Finding the Third Proportional to 13,030 and 31,522

Step by Step Solution

1. Step 1: Write the proportion equation
   13,030 : 31,522 = 31,522 : x
2. Step 2: Convert to fraction form
   13,030/31,522 = 31,522/x
3. Step 3: Cross multiply
   13,030x = 31,522 × 31,522
4. Step 4: Simplify right side
   13,030x = 993,636,484
5. Step 5: Solve for x
   x = 993,636,484/13,030
6. Step 6: Final answer
   x = 76,257.60