Finding the Third Proportional to 5,925 and 12,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,925 : 12,184.50 = 12,184.50 : x
2. Step 2: Convert to fraction form
   5,925/12,184.50 = 12,184.50/x
3. Step 3: Cross multiply
   5,925x = 12,184.50 × 12,184.50
4. Step 4: Simplify right side
   5,925x = 148,462,040.25
5. Step 5: Solve for x
   x = 148,462,040.25/5,925
6. Step 6: Final answer
   x = 25,056.88