Finding the Third Proportional to 22,358 and 46,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,358 : 46,533.50 = 46,533.50 : x
2. Step 2: Convert to fraction form
   22,358/46,533.50 = 46,533.50/x
3. Step 3: Cross multiply
   22,358x = 46,533.50 × 46,533.50
4. Step 4: Simplify right side
   22,358x = 2,165,366,622.25
5. Step 5: Solve for x
   x = 2,165,366,622.25/22,358
6. Step 6: Final answer
   x = 96,849.75