Finding the Third Proportional to 34,275 and 75,111

Step by Step Solution

1. Step 1: Write the proportion equation
   34,275 : 75,111 = 75,111 : x
2. Step 2: Convert to fraction form
   34,275/75,111 = 75,111/x
3. Step 3: Cross multiply
   34,275x = 75,111 × 75,111
4. Step 4: Simplify right side
   34,275x = 5,641,662,321
5. Step 5: Solve for x
   x = 5,641,662,321/34,275
6. Step 6: Final answer
   x = 164,599.92