Finding the Third Proportional to 61.46 and 92.31

Step by Step Solution

1. Step 1: Write the proportion equation
   61.46 : 92.31 = 92.31 : x
2. Step 2: Convert to fraction form
   61.46/92.31 = 92.31/x
3. Step 3: Cross multiply
   61.46x = 92.31 × 92.31
4. Step 4: Simplify right side
   61.46x = 8,521.42
5. Step 5: Solve for x
   x = 8,521.42/61.46
6. Step 6: Final answer
   x = 138.65