Finding the Third Proportional to 22,314 and 32,575

Step by Step Solution

1. Step 1: Write the proportion equation
   22,314 : 32,575 = 32,575 : x
2. Step 2: Convert to fraction form
   22,314/32,575 = 32,575/x
3. Step 3: Cross multiply
   22,314x = 32,575 × 32,575
4. Step 4: Simplify right side
   22,314x = 1,061,130,625
5. Step 5: Solve for x
   x = 1,061,130,625/22,314
6. Step 6: Final answer
   x = 47,554.48