Finding the Third Proportional to 1,536.75 and 3,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.75 : 3,127.50 = 3,127.50 : x
2. Step 2: Convert to fraction form
   1,536.75/3,127.50 = 3,127.50/x
3. Step 3: Cross multiply
   1,536.75x = 3,127.50 × 3,127.50
4. Step 4: Simplify right side
   1,536.75x = 9,781,256.25
5. Step 5: Solve for x
   x = 9,781,256.25/1,536.75
6. Step 6: Final answer
   x = 6,364.90