Finding the Third Proportional to 10,594 and 22,558

Step by Step Solution

1. Step 1: Write the proportion equation
   10,594 : 22,558 = 22,558 : x
2. Step 2: Convert to fraction form
   10,594/22,558 = 22,558/x
3. Step 3: Cross multiply
   10,594x = 22,558 × 22,558
4. Step 4: Simplify right side
   10,594x = 508,863,364
5. Step 5: Solve for x
   x = 508,863,364/10,594
6. Step 6: Final answer
   x = 48,033.17