Finding the Third Proportional to 35,410.50 and 76,275

Step by Step Solution

1. Step 1: Write the proportion equation
   35,410.50 : 76,275 = 76,275 : x
2. Step 2: Convert to fraction form
   35,410.50/76,275 = 76,275/x
3. Step 3: Cross multiply
   35,410.50x = 76,275 × 76,275
4. Step 4: Simplify right side
   35,410.50x = 5,817,875,625
5. Step 5: Solve for x
   x = 5,817,875,625/35,410.50
6. Step 6: Final answer
   x = 164,298.04