Finding the Third Proportional to 35,126 and 76,072

Step by Step Solution

1. Step 1: Write the proportion equation
   35,126 : 76,072 = 76,072 : x
2. Step 2: Convert to fraction form
   35,126/76,072 = 76,072/x
3. Step 3: Cross multiply
   35,126x = 76,072 × 76,072
4. Step 4: Simplify right side
   35,126x = 5,786,949,184
5. Step 5: Solve for x
   x = 5,786,949,184/35,126
6. Step 6: Final answer
   x = 164,748.31