Finding the Third Proportional to 14,620 and 34,710

Step by Step Solution

1. Step 1: Write the proportion equation
   14,620 : 34,710 = 34,710 : x
2. Step 2: Convert to fraction form
   14,620/34,710 = 34,710/x
3. Step 3: Cross multiply
   14,620x = 34,710 × 34,710
4. Step 4: Simplify right side
   14,620x = 1,204,784,100
5. Step 5: Solve for x
   x = 1,204,784,100/14,620
6. Step 6: Final answer
   x = 82,406.57