Finding the Third Proportional to 35,261 and 74,158

Step by Step Solution

1. Step 1: Write the proportion equation
   35,261 : 74,158 = 74,158 : x
2. Step 2: Convert to fraction form
   35,261/74,158 = 74,158/x
3. Step 3: Cross multiply
   35,261x = 74,158 × 74,158
4. Step 4: Simplify right side
   35,261x = 5,499,408,964
5. Step 5: Solve for x
   x = 5,499,408,964/35,261
6. Step 6: Final answer
   x = 155,962.93