Finding the Third Proportional to 23,100 and 34,780

Step by Step Solution

1. Step 1: Write the proportion equation
   23,100 : 34,780 = 34,780 : x
2. Step 2: Convert to fraction form
   23,100/34,780 = 34,780/x
3. Step 3: Cross multiply
   23,100x = 34,780 × 34,780
4. Step 4: Simplify right side
   23,100x = 1,209,648,400
5. Step 5: Solve for x
   x = 1,209,648,400/23,100
6. Step 6: Final answer
   x = 52,365.73