Finding the Third Proportional to 13,624 and 31,838

Step by Step Solution

1. Step 1: Write the proportion equation
   13,624 : 31,838 = 31,838 : x
2. Step 2: Convert to fraction form
   13,624/31,838 = 31,838/x
3. Step 3: Cross multiply
   13,624x = 31,838 × 31,838
4. Step 4: Simplify right side
   13,624x = 1,013,658,244
5. Step 5: Solve for x
   x = 1,013,658,244/13,624
6. Step 6: Final answer
   x = 74,402.40