Finding the Third Proportional to 35,553 and 75,478.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,553 : 75,478.50 = 75,478.50 : x
2. Step 2: Convert to fraction form
   35,553/75,478.50 = 75,478.50/x
3. Step 3: Cross multiply
   35,553x = 75,478.50 × 75,478.50
4. Step 4: Simplify right side
   35,553x = 5,697,003,962.25
5. Step 5: Solve for x
   x = 5,697,003,962.25/35,553
6. Step 6: Final answer
   x = 160,239.75