Finding the Third Proportional to 35,880 and 55,334

Step by Step Solution

1. Step 1: Write the proportion equation
   35,880 : 55,334 = 55,334 : x
2. Step 2: Convert to fraction form
   35,880/55,334 = 55,334/x
3. Step 3: Cross multiply
   35,880x = 55,334 × 55,334
4. Step 4: Simplify right side
   35,880x = 3,061,851,556
5. Step 5: Solve for x
   x = 3,061,851,556/35,880
6. Step 6: Final answer
   x = 85,335.89