Finding the Third Proportional to 12,277.13 and 26,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,277.13 : 26,194.50 = 26,194.50 : x
2. Step 2: Convert to fraction form
   12,277.13/26,194.50 = 26,194.50/x
3. Step 3: Cross multiply
   12,277.13x = 26,194.50 × 26,194.50
4. Step 4: Simplify right side
   12,277.13x = 686,151,830.25
5. Step 5: Solve for x
   x = 686,151,830.25/12,277.13
6. Step 6: Final answer
   x = 55,888.64