Finding the Third Proportional to 35,885.53 and 78,673.78

Step by Step Solution

1. Step 1: Write the proportion equation
   35,885.53 : 78,673.78 = 78,673.78 : x
2. Step 2: Convert to fraction form
   35,885.53/78,673.78 = 78,673.78/x
3. Step 3: Cross multiply
   35,885.53x = 78,673.78 × 78,673.78
4. Step 4: Simplify right side
   35,885.53x = 6,189,563,856.17
5. Step 5: Solve for x
   x = 6,189,563,856.17/35,885.53
6. Step 6: Final answer
   x = 172,480.76