Finding the Third Proportional to 37.10 and 59.93

Step by Step Solution

1. Step 1: Write the proportion equation
   37.10 : 59.93 = 59.93 : x
2. Step 2: Convert to fraction form
   37.10/59.93 = 59.93/x
3. Step 3: Cross multiply
   37.10x = 59.93 × 59.93
4. Step 4: Simplify right side
   37.10x = 3,591.10
5. Step 5: Solve for x
   x = 3,591.10/37.10
6. Step 6: Final answer
   x = 96.80