Finding the Third Proportional to 40,896 and 91,072

Step by Step Solution

1. Step 1: Write the proportion equation
   40,896 : 91,072 = 91,072 : x
2. Step 2: Convert to fraction form
   40,896/91,072 = 91,072/x
3. Step 3: Cross multiply
   40,896x = 91,072 × 91,072
4. Step 4: Simplify right side
   40,896x = 8,294,109,184
5. Step 5: Solve for x
   x = 8,294,109,184/40,896
6. Step 6: Final answer
   x = 202,809.79