Finding the Third Proportional to 12,892.50 and 27,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,892.50 : 27,769.50 = 27,769.50 : x
2. Step 2: Convert to fraction form
   12,892.50/27,769.50 = 27,769.50/x
3. Step 3: Cross multiply
   12,892.50x = 27,769.50 × 27,769.50
4. Step 4: Simplify right side
   12,892.50x = 771,145,130.25
5. Step 5: Solve for x
   x = 771,145,130.25/12,892.50
6. Step 6: Final answer
   x = 59,813.47