Finding the Third Proportional to 35,030 and 75,886

Step by Step Solution

1. Step 1: Write the proportion equation
   35,030 : 75,886 = 75,886 : x
2. Step 2: Convert to fraction form
   35,030/75,886 = 75,886/x
3. Step 3: Cross multiply
   35,030x = 75,886 × 75,886
4. Step 4: Simplify right side
   35,030x = 5,758,684,996
5. Step 5: Solve for x
   x = 5,758,684,996/35,030
6. Step 6: Final answer
   x = 164,392.95