Finding the Third Proportional to 34,689.50 and 38,334.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,689.50 : 38,334.50 = 38,334.50 : x
2. Step 2: Convert to fraction form
   34,689.50/38,334.50 = 38,334.50/x
3. Step 3: Cross multiply
   34,689.50x = 38,334.50 × 38,334.50
4. Step 4: Simplify right side
   34,689.50x = 1,469,533,890.25
5. Step 5: Solve for x
   x = 1,469,533,890.25/34,689.50
6. Step 6: Final answer
   x = 42,362.50