Finding the Third Proportional to 11,634 and 27,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,634 : 27,460.50 = 27,460.50 : x
2. Step 2: Convert to fraction form
   11,634/27,460.50 = 27,460.50/x
3. Step 3: Cross multiply
   11,634x = 27,460.50 × 27,460.50
4. Step 4: Simplify right side
   11,634x = 754,079,060.25
5. Step 5: Solve for x
   x = 754,079,060.25/11,634
6. Step 6: Final answer
   x = 64,816.84