Finding the Third Proportional to 1,536.47 and 2,330.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.47 : 2,330.02 = 2,330.02 : x
2. Step 2: Convert to fraction form
   1,536.47/2,330.02 = 2,330.02/x
3. Step 3: Cross multiply
   1,536.47x = 2,330.02 × 2,330.02
4. Step 4: Simplify right side
   1,536.47x = 5,428,972.81
5. Step 5: Solve for x
   x = 5,428,972.81/1,536.47
6. Step 6: Final answer
   x = 3,533.41