Finding the Third Proportional to 10,420 and 22,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420 : 22,746.50 = 22,746.50 : x
2. Step 2: Convert to fraction form
   10,420/22,746.50 = 22,746.50/x
3. Step 3: Cross multiply
   10,420x = 22,746.50 × 22,746.50
4. Step 4: Simplify right side
   10,420x = 517,403,262.25
5. Step 5: Solve for x
   x = 517,403,262.25/10,420
6. Step 6: Final answer
   x = 49,654.82