Finding the Third Proportional to 35,541 and 75,455.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,541 : 75,455.50 = 75,455.50 : x
2. Step 2: Convert to fraction form
   35,541/75,455.50 = 75,455.50/x
3. Step 3: Cross multiply
   35,541x = 75,455.50 × 75,455.50
4. Step 4: Simplify right side
   35,541x = 5,693,532,480.25
5. Step 5: Solve for x
   x = 5,693,532,480.25/35,541
6. Step 6: Final answer
   x = 160,196.18