Finding the Third Proportional to 32,076 and 77,274

Step by Step Solution

1. Step 1: Write the proportion equation
   32,076 : 77,274 = 77,274 : x
2. Step 2: Convert to fraction form
   32,076/77,274 = 77,274/x
3. Step 3: Cross multiply
   32,076x = 77,274 × 77,274
4. Step 4: Simplify right side
   32,076x = 5,971,271,076
5. Step 5: Solve for x
   x = 5,971,271,076/32,076
6. Step 6: Final answer
   x = 186,160.09