Finding the Third Proportional to 27,438 and 41,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,438 : 41,539.50 = 41,539.50 : x
2. Step 2: Convert to fraction form
   27,438/41,539.50 = 41,539.50/x
3. Step 3: Cross multiply
   27,438x = 41,539.50 × 41,539.50
4. Step 4: Simplify right side
   27,438x = 1,725,530,060.25
5. Step 5: Solve for x
   x = 1,725,530,060.25/27,438
6. Step 6: Final answer
   x = 62,888.33