Finding the Third Proportional to 1,533.94 and 2,056.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.94 : 2,056.01 = 2,056.01 : x
2. Step 2: Convert to fraction form
   1,533.94/2,056.01 = 2,056.01/x
3. Step 3: Cross multiply
   1,533.94x = 2,056.01 × 2,056.01
4. Step 4: Simplify right side
   1,533.94x = 4,227,168.13
5. Step 5: Solve for x
   x = 4,227,168.13/1,533.94
6. Step 6: Final answer
   x = 2,755.76