Finding the Third Proportional to 26,772.50 and 37,607.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,772.50 : 37,607.50 = 37,607.50 : x
2. Step 2: Convert to fraction form
   26,772.50/37,607.50 = 37,607.50/x
3. Step 3: Cross multiply
   26,772.50x = 37,607.50 × 37,607.50
4. Step 4: Simplify right side
   26,772.50x = 1,414,324,056.25
5. Step 5: Solve for x
   x = 1,414,324,056.25/26,772.50
6. Step 6: Final answer
   x = 52,827.49