Finding the Third Proportional to 1,538.06 and 1,808.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.06 : 1,808.06 = 1,808.06 : x
2. Step 2: Convert to fraction form
   1,538.06/1,808.06 = 1,808.06/x
3. Step 3: Cross multiply
   1,538.06x = 1,808.06 × 1,808.06
4. Step 4: Simplify right side
   1,538.06x = 3,269,090.00
5. Step 5: Solve for x
   x = 3,269,090.00/1,538.06
6. Step 6: Final answer
   x = 2,125.46