Finding the Third Proportional to 10,558 and 23,209

Step by Step Solution

1. Step 1: Write the proportion equation
   10,558 : 23,209 = 23,209 : x
2. Step 2: Convert to fraction form
   10,558/23,209 = 23,209/x
3. Step 3: Cross multiply
   10,558x = 23,209 × 23,209
4. Step 4: Simplify right side
   10,558x = 538,657,681
5. Step 5: Solve for x
   x = 538,657,681/10,558
6. Step 6: Final answer
   x = 51,018.91