Finding the Third Proportional to 35,358 and 74,805

Step by Step Solution

1. Step 1: Write the proportion equation
   35,358 : 74,805 = 74,805 : x
2. Step 2: Convert to fraction form
   35,358/74,805 = 74,805/x
3. Step 3: Cross multiply
   35,358x = 74,805 × 74,805
4. Step 4: Simplify right side
   35,358x = 5,595,788,025
5. Step 5: Solve for x
   x = 5,595,788,025/35,358
6. Step 6: Final answer
   x = 158,260.88