Finding the Third Proportional to 35,172 and 51,606

Step by Step Solution

1. Step 1: Write the proportion equation
   35,172 : 51,606 = 51,606 : x
2. Step 2: Convert to fraction form
   35,172/51,606 = 51,606/x
3. Step 3: Cross multiply
   35,172x = 51,606 × 51,606
4. Step 4: Simplify right side
   35,172x = 2,663,179,236
5. Step 5: Solve for x
   x = 2,663,179,236/35,172
6. Step 6: Final answer
   x = 75,718.73