Finding the Third Proportional to 13,477.50 and 27,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,477.50 : 27,820.50 = 27,820.50 : x
2. Step 2: Convert to fraction form
   13,477.50/27,820.50 = 27,820.50/x
3. Step 3: Cross multiply
   13,477.50x = 27,820.50 × 27,820.50
4. Step 4: Simplify right side
   13,477.50x = 773,980,220.25
5. Step 5: Solve for x
   x = 773,980,220.25/13,477.50
6. Step 6: Final answer
   x = 57,427.58