Finding the Third Proportional to 35,760 and 53,217

Step by Step Solution

1. Step 1: Write the proportion equation
   35,760 : 53,217 = 53,217 : x
2. Step 2: Convert to fraction form
   35,760/53,217 = 53,217/x
3. Step 3: Cross multiply
   35,760x = 53,217 × 53,217
4. Step 4: Simplify right side
   35,760x = 2,832,049,089
5. Step 5: Solve for x
   x = 2,832,049,089/35,760
6. Step 6: Final answer
   x = 79,196.00