Finding the Third Proportional to 4,194 and 4,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,194 : 4,801.50 = 4,801.50 : x
2. Step 2: Convert to fraction form
   4,194/4,801.50 = 4,801.50/x
3. Step 3: Cross multiply
   4,194x = 4,801.50 × 4,801.50
4. Step 4: Simplify right side
   4,194x = 23,054,402.25
5. Step 5: Solve for x
   x = 23,054,402.25/4,194
6. Step 6: Final answer
   x = 5,497.00