Finding the Third Proportional to 42.13 and 69.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42.13 : 69.50 = 69.50 : x
2. Step 2: Convert to fraction form
   42.13/69.50 = 69.50/x
3. Step 3: Cross multiply
   42.13x = 69.50 × 69.50
4. Step 4: Simplify right side
   42.13x = 4,830.25
5. Step 5: Solve for x
   x = 4,830.25/42.13
6. Step 6: Final answer
   x = 114.66