Finding the Third Proportional to 34,716 and 71,889

Step by Step Solution

1. Step 1: Write the proportion equation
   34,716 : 71,889 = 71,889 : x
2. Step 2: Convert to fraction form
   34,716/71,889 = 71,889/x
3. Step 3: Cross multiply
   34,716x = 71,889 × 71,889
4. Step 4: Simplify right side
   34,716x = 5,168,028,321
5. Step 5: Solve for x
   x = 5,168,028,321/34,716
6. Step 6: Final answer
   x = 148,865.89