Finding the Third Proportional to 27,409.50 and 41,006.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,409.50 : 41,006.25 = 41,006.25 : x
2. Step 2: Convert to fraction form
   27,409.50/41,006.25 = 41,006.25/x
3. Step 3: Cross multiply
   27,409.50x = 41,006.25 × 41,006.25
4. Step 4: Simplify right side
   27,409.50x = 1,681,512,539.06
5. Step 5: Solve for x
   x = 1,681,512,539.06/27,409.50
6. Step 6: Final answer
   x = 61,347.80