Finding the Third Proportional to 942 and 1,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   942 : 1,923.50 = 1,923.50 : x
2. Step 2: Convert to fraction form
   942/1,923.50 = 1,923.50/x
3. Step 3: Cross multiply
   942x = 1,923.50 × 1,923.50
4. Step 4: Simplify right side
   942x = 3,699,852.25
5. Step 5: Solve for x
   x = 3,699,852.25/942
6. Step 6: Final answer
   x = 3,927.66