Finding the Third Proportional to 30,680 and 47,506

Step by Step Solution

1. Step 1: Write the proportion equation
   30,680 : 47,506 = 47,506 : x
2. Step 2: Convert to fraction form
   30,680/47,506 = 47,506/x
3. Step 3: Cross multiply
   30,680x = 47,506 × 47,506
4. Step 4: Simplify right side
   30,680x = 2,256,820,036
5. Step 5: Solve for x
   x = 2,256,820,036/30,680
6. Step 6: Final answer
   x = 73,559.98