Finding the Third Proportional to 38.06 and 90.29

Step by Step Solution

1. Step 1: Write the proportion equation
   38.06 : 90.29 = 90.29 : x
2. Step 2: Convert to fraction form
   38.06/90.29 = 90.29/x
3. Step 3: Cross multiply
   38.06x = 90.29 × 90.29
4. Step 4: Simplify right side
   38.06x = 8,152.71
5. Step 5: Solve for x
   x = 8,152.71/38.06
6. Step 6: Final answer
   x = 214.20