Finding the Third Proportional to 842 and 1,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   842 : 1,562.50 = 1,562.50 : x
2. Step 2: Convert to fraction form
   842/1,562.50 = 1,562.50/x
3. Step 3: Cross multiply
   842x = 1,562.50 × 1,562.50
4. Step 4: Simplify right side
   842x = 2,441,406.25
5. Step 5: Solve for x
   x = 2,441,406.25/842
6. Step 6: Final answer
   x = 2,899.53