Finding the Third Proportional to 3,730 and 7,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,730 : 7,696.50 = 7,696.50 : x
2. Step 2: Convert to fraction form
   3,730/7,696.50 = 7,696.50/x
3. Step 3: Cross multiply
   3,730x = 7,696.50 × 7,696.50
4. Step 4: Simplify right side
   3,730x = 59,236,112.25
5. Step 5: Solve for x
   x = 59,236,112.25/3,730
6. Step 6: Final answer
   x = 15,881.00