Finding the Third Proportional to 69.38 and 100.13

Step by Step Solution

1. Step 1: Write the proportion equation
   69.38 : 100.13 = 100.13 : x
2. Step 2: Convert to fraction form
   69.38/100.13 = 100.13/x
3. Step 3: Cross multiply
   69.38x = 100.13 × 100.13
4. Step 4: Simplify right side
   69.38x = 10,025.02
5. Step 5: Solve for x
   x = 10,025.02/69.38
6. Step 6: Final answer
   x = 144.50