Finding the Third Proportional to 31,788 and 43,122.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,788 : 43,122.75 = 43,122.75 : x
2. Step 2: Convert to fraction form
   31,788/43,122.75 = 43,122.75/x
3. Step 3: Cross multiply
   31,788x = 43,122.75 × 43,122.75
4. Step 4: Simplify right side
   31,788x = 1,859,571,567.56
5. Step 5: Solve for x
   x = 1,859,571,567.56/31,788
6. Step 6: Final answer
   x = 58,499.17