Finding the Third Proportional to 35,126 and 76,084

Step by Step Solution

1. Step 1: Write the proportion equation
   35,126 : 76,084 = 76,084 : x
2. Step 2: Convert to fraction form
   35,126/76,084 = 76,084/x
3. Step 3: Cross multiply
   35,126x = 76,084 × 76,084
4. Step 4: Simplify right side
   35,126x = 5,788,775,056
5. Step 5: Solve for x
   x = 5,788,775,056/35,126
6. Step 6: Final answer
   x = 164,800.29