Finding the Third Proportional to 2,128.50 and 3,117.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,128.50 : 3,117.94 = 3,117.94 : x
2. Step 2: Convert to fraction form
   2,128.50/3,117.94 = 3,117.94/x
3. Step 3: Cross multiply
   2,128.50x = 3,117.94 × 3,117.94
4. Step 4: Simplify right side
   2,128.50x = 9,721,534.25
5. Step 5: Solve for x
   x = 9,721,534.25/2,128.50
6. Step 6: Final answer
   x = 4,567.32