Finding the Third Proportional to 22,097 and 32,102

Step by Step Solution

1. Step 1: Write the proportion equation
   22,097 : 32,102 = 32,102 : x
2. Step 2: Convert to fraction form
   22,097/32,102 = 32,102/x
3. Step 3: Cross multiply
   22,097x = 32,102 × 32,102
4. Step 4: Simplify right side
   22,097x = 1,030,538,404
5. Step 5: Solve for x
   x = 1,030,538,404/22,097
6. Step 6: Final answer
   x = 46,637.03