Finding the Third Proportional to 75.38 and 100.13

Step by Step Solution

1. Step 1: Write the proportion equation
   75.38 : 100.13 = 100.13 : x
2. Step 2: Convert to fraction form
   75.38/100.13 = 100.13/x
3. Step 3: Cross multiply
   75.38x = 100.13 × 100.13
4. Step 4: Simplify right side
   75.38x = 10,025.02
5. Step 5: Solve for x
   x = 10,025.02/75.38
6. Step 6: Final answer
   x = 133.00