Finding the Third Proportional to 9,116 and 21,465

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116 : 21,465 = 21,465 : x
2. Step 2: Convert to fraction form
   9,116/21,465 = 21,465/x
3. Step 3: Cross multiply
   9,116x = 21,465 × 21,465
4. Step 4: Simplify right side
   9,116x = 460,746,225
5. Step 5: Solve for x
   x = 460,746,225/9,116
6. Step 6: Final answer
   x = 50,542.59