Finding the Third Proportional to 13,008.50 and 27,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,008.50 : 27,637.50 = 27,637.50 : x
2. Step 2: Convert to fraction form
   13,008.50/27,637.50 = 27,637.50/x
3. Step 3: Cross multiply
   13,008.50x = 27,637.50 × 27,637.50
4. Step 4: Simplify right side
   13,008.50x = 763,831,406.25
5. Step 5: Solve for x
   x = 763,831,406.25/13,008.50
6. Step 6: Final answer
   x = 58,717.87