Finding the Third Proportional to 13,275 and 32,094

Step by Step Solution

1. Step 1: Write the proportion equation
   13,275 : 32,094 = 32,094 : x
2. Step 2: Convert to fraction form
   13,275/32,094 = 32,094/x
3. Step 3: Cross multiply
   13,275x = 32,094 × 32,094
4. Step 4: Simplify right side
   13,275x = 1,030,024,836
5. Step 5: Solve for x
   x = 1,030,024,836/13,275
6. Step 6: Final answer
   x = 77,591.32