Finding the Third Proportional to 10,458 and 22,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,458 : 22,558.50 = 22,558.50 : x
2. Step 2: Convert to fraction form
   10,458/22,558.50 = 22,558.50/x
3. Step 3: Cross multiply
   10,458x = 22,558.50 × 22,558.50
4. Step 4: Simplify right side
   10,458x = 508,885,922.25
5. Step 5: Solve for x
   x = 508,885,922.25/10,458
6. Step 6: Final answer
   x = 48,659.97