Finding the Third Proportional to 1,152 and 2,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152 : 2,047.50 = 2,047.50 : x
2. Step 2: Convert to fraction form
   1,152/2,047.50 = 2,047.50/x
3. Step 3: Cross multiply
   1,152x = 2,047.50 × 2,047.50
4. Step 4: Simplify right side
   1,152x = 4,192,256.25
5. Step 5: Solve for x
   x = 4,192,256.25/1,152
6. Step 6: Final answer
   x = 3,639.11