Finding the Third Proportional to 42.50 and 91.63

Step by Step Solution

1. Step 1: Write the proportion equation
   42.50 : 91.63 = 91.63 : x
2. Step 2: Convert to fraction form
   42.50/91.63 = 91.63/x
3. Step 3: Cross multiply
   42.50x = 91.63 × 91.63
4. Step 4: Simplify right side
   42.50x = 8,395.14
5. Step 5: Solve for x
   x = 8,395.14/42.50
6. Step 6: Final answer
   x = 197.53