Finding the Third Proportional to 10,686.30 and 23,384.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686.30 : 23,384.95 = 23,384.95 : x
2. Step 2: Convert to fraction form
   10,686.30/23,384.95 = 23,384.95/x
3. Step 3: Cross multiply
   10,686.30x = 23,384.95 × 23,384.95
4. Step 4: Simplify right side
   10,686.30x = 546,856,032.66
5. Step 5: Solve for x
   x = 546,856,032.66/10,686.30
6. Step 6: Final answer
   x = 51,173.54