Finding the Third Proportional to 37.84 and 59.47

Step by Step Solution

1. Step 1: Write the proportion equation
   37.84 : 59.47 = 59.47 : x
2. Step 2: Convert to fraction form
   37.84/59.47 = 59.47/x
3. Step 3: Cross multiply
   37.84x = 59.47 × 59.47
4. Step 4: Simplify right side
   37.84x = 3,536.33
5. Step 5: Solve for x
   x = 3,536.33/37.84
6. Step 6: Final answer
   x = 93.45