Finding the Third Proportional to 1,847.81 and 3,812.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,847.81 : 3,812.06 = 3,812.06 : x
2. Step 2: Convert to fraction form
   1,847.81/3,812.06 = 3,812.06/x
3. Step 3: Cross multiply
   1,847.81x = 3,812.06 × 3,812.06
4. Step 4: Simplify right side
   1,847.81x = 14,531,820.50
5. Step 5: Solve for x
   x = 14,531,820.50/1,847.81
6. Step 6: Final answer
   x = 7,864.34