Finding the Third Proportional to 34,021.50 and 74,685

Step by Step Solution

1. Step 1: Write the proportion equation
   34,021.50 : 74,685 = 74,685 : x
2. Step 2: Convert to fraction form
   34,021.50/74,685 = 74,685/x
3. Step 3: Cross multiply
   34,021.50x = 74,685 × 74,685
4. Step 4: Simplify right side
   34,021.50x = 5,577,849,225
5. Step 5: Solve for x
   x = 5,577,849,225/34,021.50
6. Step 6: Final answer
   x = 163,950.71