Finding the Third Proportional to 1,507 and 2,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,507 : 2,688.50 = 2,688.50 : x
2. Step 2: Convert to fraction form
   1,507/2,688.50 = 2,688.50/x
3. Step 3: Cross multiply
   1,507x = 2,688.50 × 2,688.50
4. Step 4: Simplify right side
   1,507x = 7,228,032.25
5. Step 5: Solve for x
   x = 7,228,032.25/1,507
6. Step 6: Final answer
   x = 4,796.31