Finding the Third Proportional to 27,588 and 43,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,588 : 43,705.50 = 43,705.50 : x
2. Step 2: Convert to fraction form
   27,588/43,705.50 = 43,705.50/x
3. Step 3: Cross multiply
   27,588x = 43,705.50 × 43,705.50
4. Step 4: Simplify right side
   27,588x = 1,910,170,730.25
5. Step 5: Solve for x
   x = 1,910,170,730.25/27,588
6. Step 6: Final answer
   x = 69,239.19