Finding the Third Proportional to 5,954.50 and 13,845.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,954.50 : 13,845.50 = 13,845.50 : x
2. Step 2: Convert to fraction form
   5,954.50/13,845.50 = 13,845.50/x
3. Step 3: Cross multiply
   5,954.50x = 13,845.50 × 13,845.50
4. Step 4: Simplify right side
   5,954.50x = 191,697,870.25
5. Step 5: Solve for x
   x = 191,697,870.25/5,954.50
6. Step 6: Final answer
   x = 32,193.78