Finding the Third Proportional to 12,526.88 and 19,382.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,526.88 : 19,382.63 = 19,382.63 : x
2. Step 2: Convert to fraction form
   12,526.88/19,382.63 = 19,382.63/x
3. Step 3: Cross multiply
   12,526.88x = 19,382.63 × 19,382.63
4. Step 4: Simplify right side
   12,526.88x = 375,686,151.89
5. Step 5: Solve for x
   x = 375,686,151.89/12,526.88
6. Step 6: Final answer
   x = 29,990.41