Finding the Third Proportional to 22,358 and 46,156

Step by Step Solution

1. Step 1: Write the proportion equation
   22,358 : 46,156 = 46,156 : x
2. Step 2: Convert to fraction form
   22,358/46,156 = 46,156/x
3. Step 3: Cross multiply
   22,358x = 46,156 × 46,156
4. Step 4: Simplify right side
   22,358x = 2,130,376,336
5. Step 5: Solve for x
   x = 2,130,376,336/22,358
6. Step 6: Final answer
   x = 95,284.75