Finding the Third Proportional to 17,534 and 35,886

Step by Step Solution

1. Step 1: Write the proportion equation
   17,534 : 35,886 = 35,886 : x
2. Step 2: Convert to fraction form
   17,534/35,886 = 35,886/x
3. Step 3: Cross multiply
   17,534x = 35,886 × 35,886
4. Step 4: Simplify right side
   17,534x = 1,287,804,996
5. Step 5: Solve for x
   x = 1,287,804,996/17,534
6. Step 6: Final answer
   x = 73,446.16