Finding the Third Proportional to 22,849 and 52,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,849 : 52,946.50 = 52,946.50 : x
2. Step 2: Convert to fraction form
   22,849/52,946.50 = 52,946.50/x
3. Step 3: Cross multiply
   22,849x = 52,946.50 × 52,946.50
4. Step 4: Simplify right side
   22,849x = 2,803,331,862.25
5. Step 5: Solve for x
   x = 2,803,331,862.25/22,849
6. Step 6: Final answer
   x = 122,689.48