Finding the Third Proportional to 35,426 and 75,172

Step by Step Solution

1. Step 1: Write the proportion equation
   35,426 : 75,172 = 75,172 : x
2. Step 2: Convert to fraction form
   35,426/75,172 = 75,172/x
3. Step 3: Cross multiply
   35,426x = 75,172 × 75,172
4. Step 4: Simplify right side
   35,426x = 5,650,829,584
5. Step 5: Solve for x
   x = 5,650,829,584/35,426
6. Step 6: Final answer
   x = 159,510.80