Finding the Third Proportional to 10,010 and 19,516

Step by Step Solution

1. Step 1: Write the proportion equation
   10,010 : 19,516 = 19,516 : x
2. Step 2: Convert to fraction form
   10,010/19,516 = 19,516/x
3. Step 3: Cross multiply
   10,010x = 19,516 × 19,516
4. Step 4: Simplify right side
   10,010x = 380,874,256
5. Step 5: Solve for x
   x = 380,874,256/10,010
6. Step 6: Final answer
   x = 38,049.38