Finding the Third Proportional to 65.74 and 117.98

Step by Step Solution

1. Step 1: Write the proportion equation
   65.74 : 117.98 = 117.98 : x
2. Step 2: Convert to fraction form
   65.74/117.98 = 117.98/x
3. Step 3: Cross multiply
   65.74x = 117.98 × 117.98
4. Step 4: Simplify right side
   65.74x = 13,920.31
5. Step 5: Solve for x
   x = 13,920.31/65.74
6. Step 6: Final answer
   x = 211.74