Finding the Third Proportional to 83.63 and 112.13

Step by Step Solution

1. Step 1: Write the proportion equation
   83.63 : 112.13 = 112.13 : x
2. Step 2: Convert to fraction form
   83.63/112.13 = 112.13/x
3. Step 3: Cross multiply
   83.63x = 112.13 × 112.13
4. Step 4: Simplify right side
   83.63x = 12,572.02
5. Step 5: Solve for x
   x = 12,572.02/83.63
6. Step 6: Final answer
   x = 150.34