Finding the Third Proportional to 14,580 and 32,076

Step by Step Solution

1. Step 1: Write the proportion equation
   14,580 : 32,076 = 32,076 : x
2. Step 2: Convert to fraction form
   14,580/32,076 = 32,076/x
3. Step 3: Cross multiply
   14,580x = 32,076 × 32,076
4. Step 4: Simplify right side
   14,580x = 1,028,869,776
5. Step 5: Solve for x
   x = 1,028,869,776/14,580
6. Step 6: Final answer
   x = 70,567.20