Finding the Third Proportional to 39,649.50 and 58,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,649.50 : 58,378.50 = 58,378.50 : x
2. Step 2: Convert to fraction form
   39,649.50/58,378.50 = 58,378.50/x
3. Step 3: Cross multiply
   39,649.50x = 58,378.50 × 58,378.50
4. Step 4: Simplify right side
   39,649.50x = 3,408,049,262.25
5. Step 5: Solve for x
   x = 3,408,049,262.25/39,649.50
6. Step 6: Final answer
   x = 85,954.41