Finding the Third Proportional to 21,780 and 34,506

Step by Step Solution

1. Step 1: Write the proportion equation
   21,780 : 34,506 = 34,506 : x
2. Step 2: Convert to fraction form
   21,780/34,506 = 34,506/x
3. Step 3: Cross multiply
   21,780x = 34,506 × 34,506
4. Step 4: Simplify right side
   21,780x = 1,190,664,036
5. Step 5: Solve for x
   x = 1,190,664,036/21,780
6. Step 6: Final answer
   x = 54,667.77