Finding the Third Proportional to 22,109 and 46,354

Step by Step Solution

1. Step 1: Write the proportion equation
   22,109 : 46,354 = 46,354 : x
2. Step 2: Convert to fraction form
   22,109/46,354 = 46,354/x
3. Step 3: Cross multiply
   22,109x = 46,354 × 46,354
4. Step 4: Simplify right side
   22,109x = 2,148,693,316
5. Step 5: Solve for x
   x = 2,148,693,316/22,109
6. Step 6: Final answer
   x = 97,186.36