Finding the Third Proportional to 14,814 and 32,501

Step by Step Solution

1. Step 1: Write the proportion equation
   14,814 : 32,501 = 32,501 : x
2. Step 2: Convert to fraction form
   14,814/32,501 = 32,501/x
3. Step 3: Cross multiply
   14,814x = 32,501 × 32,501
4. Step 4: Simplify right side
   14,814x = 1,056,315,001
5. Step 5: Solve for x
   x = 1,056,315,001/14,814
6. Step 6: Final answer
   x = 71,305.18