Finding the Third Proportional to 13,534 and 31,083

Step by Step Solution

1. Step 1: Write the proportion equation
   13,534 : 31,083 = 31,083 : x
2. Step 2: Convert to fraction form
   13,534/31,083 = 31,083/x
3. Step 3: Cross multiply
   13,534x = 31,083 × 31,083
4. Step 4: Simplify right side
   13,534x = 966,152,889
5. Step 5: Solve for x
   x = 966,152,889/13,534
6. Step 6: Final answer
   x = 71,387.09