Finding the Third Proportional to 34,172 and 71,798

Step by Step Solution

1. Step 1: Write the proportion equation
   34,172 : 71,798 = 71,798 : x
2. Step 2: Convert to fraction form
   34,172/71,798 = 71,798/x
3. Step 3: Cross multiply
   34,172x = 71,798 × 71,798
4. Step 4: Simplify right side
   34,172x = 5,154,952,804
5. Step 5: Solve for x
   x = 5,154,952,804/34,172
6. Step 6: Final answer
   x = 150,853.12