Finding the Third Proportional to 35.63 and 59.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35.63 : 59.25 = 59.25 : x
2. Step 2: Convert to fraction form
   35.63/59.25 = 59.25/x
3. Step 3: Cross multiply
   35.63x = 59.25 × 59.25
4. Step 4: Simplify right side
   35.63x = 3,510.56
5. Step 5: Solve for x
   x = 3,510.56/35.63
6. Step 6: Final answer
   x = 98.54