Finding the Third Proportional to 31.64 and 45.98

Step by Step Solution

1. Step 1: Write the proportion equation
   31.64 : 45.98 = 45.98 : x
2. Step 2: Convert to fraction form
   31.64/45.98 = 45.98/x
3. Step 3: Cross multiply
   31.64x = 45.98 × 45.98
4. Step 4: Simplify right side
   31.64x = 2,114.56
5. Step 5: Solve for x
   x = 2,114.56/31.64
6. Step 6: Final answer
   x = 66.83