Finding the Third Proportional to 1,428.75 and 2,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,428.75 : 2,101.50 = 2,101.50 : x
2. Step 2: Convert to fraction form
   1,428.75/2,101.50 = 2,101.50/x
3. Step 3: Cross multiply
   1,428.75x = 2,101.50 × 2,101.50
4. Step 4: Simplify right side
   1,428.75x = 4,416,302.25
5. Step 5: Solve for x
   x = 4,416,302.25/1,428.75
6. Step 6: Final answer
   x = 3,091.03