Finding the Third Proportional to 13,696 and 21,124

Step by Step Solution

1. Step 1: Write the proportion equation
   13,696 : 21,124 = 21,124 : x
2. Step 2: Convert to fraction form
   13,696/21,124 = 21,124/x
3. Step 3: Cross multiply
   13,696x = 21,124 × 21,124
4. Step 4: Simplify right side
   13,696x = 446,223,376
5. Step 5: Solve for x
   x = 446,223,376/13,696
6. Step 6: Final answer
   x = 32,580.56