Finding the Third Proportional to 37.55 and 58.01

Step by Step Solution

1. Step 1: Write the proportion equation
   37.55 : 58.01 = 58.01 : x
2. Step 2: Convert to fraction form
   37.55/58.01 = 58.01/x
3. Step 3: Cross multiply
   37.55x = 58.01 × 58.01
4. Step 4: Simplify right side
   37.55x = 3,364.91
5. Step 5: Solve for x
   x = 3,364.91/37.55
6. Step 6: Final answer
   x = 89.62