Finding the Third Proportional to 1,506 and 2,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,506 : 2,380.50 = 2,380.50 : x
2. Step 2: Convert to fraction form
   1,506/2,380.50 = 2,380.50/x
3. Step 3: Cross multiply
   1,506x = 2,380.50 × 2,380.50
4. Step 4: Simplify right side
   1,506x = 5,666,780.25
5. Step 5: Solve for x
   x = 5,666,780.25/1,506
6. Step 6: Final answer
   x = 3,762.80