Finding the Third Proportional to 47,643 and 71,229

Step by Step Solution

1. Step 1: Write the proportion equation
   47,643 : 71,229 = 71,229 : x
2. Step 2: Convert to fraction form
   47,643/71,229 = 71,229/x
3. Step 3: Cross multiply
   47,643x = 71,229 × 71,229
4. Step 4: Simplify right side
   47,643x = 5,073,570,441
5. Step 5: Solve for x
   x = 5,073,570,441/47,643
6. Step 6: Final answer
   x = 106,491.41