Finding the Third Proportional to 35,085 and 74,490

Step by Step Solution

1. Step 1: Write the proportion equation
   35,085 : 74,490 = 74,490 : x
2. Step 2: Convert to fraction form
   35,085/74,490 = 74,490/x
3. Step 3: Cross multiply
   35,085x = 74,490 × 74,490
4. Step 4: Simplify right side
   35,085x = 5,548,760,100
5. Step 5: Solve for x
   x = 5,548,760,100/35,085
6. Step 6: Final answer
   x = 158,151.92