Finding the Third Proportional to 35,577.46 and 76,431.15

Step by Step Solution

1. Step 1: Write the proportion equation
   35,577.46 : 76,431.15 = 76,431.15 : x
2. Step 2: Convert to fraction form
   35,577.46/76,431.15 = 76,431.15/x
3. Step 3: Cross multiply
   35,577.46x = 76,431.15 × 76,431.15
4. Step 4: Simplify right side
   35,577.46x = 5,841,720,152.92
5. Step 5: Solve for x
   x = 5,841,720,152.92/35,577.46
6. Step 6: Final answer
   x = 164,197.24