Finding the Third Proportional to 3,810 and 4,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,810 : 4,156.50 = 4,156.50 : x
2. Step 2: Convert to fraction form
   3,810/4,156.50 = 4,156.50/x
3. Step 3: Cross multiply
   3,810x = 4,156.50 × 4,156.50
4. Step 4: Simplify right side
   3,810x = 17,276,492.25
5. Step 5: Solve for x
   x = 17,276,492.25/3,810
6. Step 6: Final answer
   x = 4,534.51