Finding the Third Proportional to 31,005 and 77,036

Step by Step Solution

1. Step 1: Write the proportion equation
   31,005 : 77,036 = 77,036 : x
2. Step 2: Convert to fraction form
   31,005/77,036 = 77,036/x
3. Step 3: Cross multiply
   31,005x = 77,036 × 77,036
4. Step 4: Simplify right side
   31,005x = 5,934,545,296
5. Step 5: Solve for x
   x = 5,934,545,296/31,005
6. Step 6: Final answer
   x = 191,406.07