Finding the Third Proportional to 34,191 and 71,837.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,191 : 71,837.25 = 71,837.25 : x
2. Step 2: Convert to fraction form
   34,191/71,837.25 = 71,837.25/x
3. Step 3: Cross multiply
   34,191x = 71,837.25 × 71,837.25
4. Step 4: Simplify right side
   34,191x = 5,160,590,487.56
5. Step 5: Solve for x
   x = 5,160,590,487.56/34,191
6. Step 6: Final answer
   x = 150,934.18