Finding the Third Proportional to 22,492 and 48,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,492 : 48,098.50 = 48,098.50 : x
2. Step 2: Convert to fraction form
   22,492/48,098.50 = 48,098.50/x
3. Step 3: Cross multiply
   22,492x = 48,098.50 × 48,098.50
4. Step 4: Simplify right side
   22,492x = 2,313,465,702.25
5. Step 5: Solve for x
   x = 2,313,465,702.25/22,492
6. Step 6: Final answer
   x = 102,857.27