Finding the Third Proportional to 22,140 and 32,894

Step by Step Solution

1. Step 1: Write the proportion equation
   22,140 : 32,894 = 32,894 : x
2. Step 2: Convert to fraction form
   22,140/32,894 = 32,894/x
3. Step 3: Cross multiply
   22,140x = 32,894 × 32,894
4. Step 4: Simplify right side
   22,140x = 1,082,015,236
5. Step 5: Solve for x
   x = 1,082,015,236/22,140
6. Step 6: Final answer
   x = 48,871.51