Finding the Third Proportional to 35,848 and 77,094

Step by Step Solution

1. Step 1: Write the proportion equation
   35,848 : 77,094 = 77,094 : x
2. Step 2: Convert to fraction form
   35,848/77,094 = 77,094/x
3. Step 3: Cross multiply
   35,848x = 77,094 × 77,094
4. Step 4: Simplify right side
   35,848x = 5,943,484,836
5. Step 5: Solve for x
   x = 5,943,484,836/35,848
6. Step 6: Final answer
   x = 165,796.83