Finding the Third Proportional to 22,308 and 32,623

Step by Step Solution

1. Step 1: Write the proportion equation
   22,308 : 32,623 = 32,623 : x
2. Step 2: Convert to fraction form
   22,308/32,623 = 32,623/x
3. Step 3: Cross multiply
   22,308x = 32,623 × 32,623
4. Step 4: Simplify right side
   22,308x = 1,064,260,129
5. Step 5: Solve for x
   x = 1,064,260,129/22,308
6. Step 6: Final answer
   x = 47,707.55