Finding the Third Proportional to 91.88 and 142.13

Step by Step Solution

1. Step 1: Write the proportion equation
   91.88 : 142.13 = 142.13 : x
2. Step 2: Convert to fraction form
   91.88/142.13 = 142.13/x
3. Step 3: Cross multiply
   91.88x = 142.13 × 142.13
4. Step 4: Simplify right side
   91.88x = 20,199.52
5. Step 5: Solve for x
   x = 20,199.52/91.88
6. Step 6: Final answer
   x = 219.86