Finding the Third Proportional to 12,730.50 and 27,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,730.50 : 27,637.50 = 27,637.50 : x
2. Step 2: Convert to fraction form
   12,730.50/27,637.50 = 27,637.50/x
3. Step 3: Cross multiply
   12,730.50x = 27,637.50 × 27,637.50
4. Step 4: Simplify right side
   12,730.50x = 763,831,406.25
5. Step 5: Solve for x
   x = 763,831,406.25/12,730.50
6. Step 6: Final answer
   x = 60,000.11