Finding the Third Proportional to 10,972.13 and 27,703.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,972.13 : 27,703.69 = 27,703.69 : x
2. Step 2: Convert to fraction form
   10,972.13/27,703.69 = 27,703.69/x
3. Step 3: Cross multiply
   10,972.13x = 27,703.69 × 27,703.69
4. Step 4: Simplify right side
   10,972.13x = 767,494,301.10
5. Step 5: Solve for x
   x = 767,494,301.10/10,972.13
6. Step 6: Final answer
   x = 69,949.47