Finding the Third Proportional to 17.83 and 37.07

Step by Step Solution

1. Step 1: Write the proportion equation
   17.83 : 37.07 = 37.07 : x
2. Step 2: Convert to fraction form
   17.83/37.07 = 37.07/x
3. Step 3: Cross multiply
   17.83x = 37.07 × 37.07
4. Step 4: Simplify right side
   17.83x = 1,373.95
5. Step 5: Solve for x
   x = 1,373.95/17.83
6. Step 6: Final answer
   x = 77.06