Finding the Third Proportional to 31,759 and 43,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,759 : 43,588.50 = 43,588.50 : x
2. Step 2: Convert to fraction form
   31,759/43,588.50 = 43,588.50/x
3. Step 3: Cross multiply
   31,759x = 43,588.50 × 43,588.50
4. Step 4: Simplify right side
   31,759x = 1,899,957,332.25
5. Step 5: Solve for x
   x = 1,899,957,332.25/31,759
6. Step 6: Final answer
   x = 59,824.22