Finding the Third Proportional to 28,640 and 64,592

Step by Step Solution

1. Step 1: Write the proportion equation
   28,640 : 64,592 = 64,592 : x
2. Step 2: Convert to fraction form
   28,640/64,592 = 64,592/x
3. Step 3: Cross multiply
   28,640x = 64,592 × 64,592
4. Step 4: Simplify right side
   28,640x = 4,172,126,464
5. Step 5: Solve for x
   x = 4,172,126,464/28,640
6. Step 6: Final answer
   x = 145,674.81