Finding the Third Proportional to 11,432.63 and 27,538.26

Step by Step Solution

1. Step 1: Write the proportion equation
   11,432.63 : 27,538.26 = 27,538.26 : x
2. Step 2: Convert to fraction form
   11,432.63/27,538.26 = 27,538.26/x
3. Step 3: Cross multiply
   11,432.63x = 27,538.26 × 27,538.26
4. Step 4: Simplify right side
   11,432.63x = 758,355,750.92
5. Step 5: Solve for x
   x = 758,355,750.92/11,432.63
6. Step 6: Final answer
   x = 66,332.58