Finding the Third Proportional to 42,926 and 57,315

Step by Step Solution

1. Step 1: Write the proportion equation
   42,926 : 57,315 = 57,315 : x
2. Step 2: Convert to fraction form
   42,926/57,315 = 57,315/x
3. Step 3: Cross multiply
   42,926x = 57,315 × 57,315
4. Step 4: Simplify right side
   42,926x = 3,285,009,225
5. Step 5: Solve for x
   x = 3,285,009,225/42,926
6. Step 6: Final answer
   x = 76,527.26