Finding the Third Proportional to 14,829 and 32,222

Step by Step Solution

1. Step 1: Write the proportion equation
   14,829 : 32,222 = 32,222 : x
2. Step 2: Convert to fraction form
   14,829/32,222 = 32,222/x
3. Step 3: Cross multiply
   14,829x = 32,222 × 32,222
4. Step 4: Simplify right side
   14,829x = 1,038,257,284
5. Step 5: Solve for x
   x = 1,038,257,284/14,829
6. Step 6: Final answer
   x = 70,015.33