Finding the Third Proportional to 34,499 and 75,315

Step by Step Solution

1. Step 1: Write the proportion equation
   34,499 : 75,315 = 75,315 : x
2. Step 2: Convert to fraction form
   34,499/75,315 = 75,315/x
3. Step 3: Cross multiply
   34,499x = 75,315 × 75,315
4. Step 4: Simplify right side
   34,499x = 5,672,349,225
5. Step 5: Solve for x
   x = 5,672,349,225/34,499
6. Step 6: Final answer
   x = 164,420.69