Finding the Third Proportional to 35,302.50 and 75,525.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,302.50 : 75,525.75 = 75,525.75 : x
2. Step 2: Convert to fraction form
   35,302.50/75,525.75 = 75,525.75/x
3. Step 3: Cross multiply
   35,302.50x = 75,525.75 × 75,525.75
4. Step 4: Simplify right side
   35,302.50x = 5,704,138,913.06
5. Step 5: Solve for x
   x = 5,704,138,913.06/35,302.50
6. Step 6: Final answer
   x = 161,578.89