Finding the Third Proportional to 21,138 and 45,620

Step by Step Solution

1. Step 1: Write the proportion equation
   21,138 : 45,620 = 45,620 : x
2. Step 2: Convert to fraction form
   21,138/45,620 = 45,620/x
3. Step 3: Cross multiply
   21,138x = 45,620 × 45,620
4. Step 4: Simplify right side
   21,138x = 2,081,184,400
5. Step 5: Solve for x
   x = 2,081,184,400/21,138
6. Step 6: Final answer
   x = 98,457.02