Finding the Third Proportional to 37.75 and 59.13

Step by Step Solution

1. Step 1: Write the proportion equation
   37.75 : 59.13 = 59.13 : x
2. Step 2: Convert to fraction form
   37.75/59.13 = 59.13/x
3. Step 3: Cross multiply
   37.75x = 59.13 × 59.13
4. Step 4: Simplify right side
   37.75x = 3,495.77
5. Step 5: Solve for x
   x = 3,495.77/37.75
6. Step 6: Final answer
   x = 92.60