Finding the Third Proportional to 31,547.25 and 68,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,547.25 : 68,971.50 = 68,971.50 : x
2. Step 2: Convert to fraction form
   31,547.25/68,971.50 = 68,971.50/x
3. Step 3: Cross multiply
   31,547.25x = 68,971.50 × 68,971.50
4. Step 4: Simplify right side
   31,547.25x = 4,757,067,812.25
5. Step 5: Solve for x
   x = 4,757,067,812.25/31,547.25
6. Step 6: Final answer
   x = 150,791.84