Finding the Third Proportional to 9,516 and 20,072

Step by Step Solution

1. Step 1: Write the proportion equation
   9,516 : 20,072 = 20,072 : x
2. Step 2: Convert to fraction form
   9,516/20,072 = 20,072/x
3. Step 3: Cross multiply
   9,516x = 20,072 × 20,072
4. Step 4: Simplify right side
   9,516x = 402,885,184
5. Step 5: Solve for x
   x = 402,885,184/9,516
6. Step 6: Final answer
   x = 42,337.66