Finding the Third Proportional to 21,178 and 45,272

Step by Step Solution

1. Step 1: Write the proportion equation
   21,178 : 45,272 = 45,272 : x
2. Step 2: Convert to fraction form
   21,178/45,272 = 45,272/x
3. Step 3: Cross multiply
   21,178x = 45,272 × 45,272
4. Step 4: Simplify right side
   21,178x = 2,049,553,984
5. Step 5: Solve for x
   x = 2,049,553,984/21,178
6. Step 6: Final answer
   x = 96,777.50