Finding the Third Proportional to 35,196 and 51,210

Step by Step Solution

1. Step 1: Write the proportion equation
   35,196 : 51,210 = 51,210 : x
2. Step 2: Convert to fraction form
   35,196/51,210 = 51,210/x
3. Step 3: Cross multiply
   35,196x = 51,210 × 51,210
4. Step 4: Simplify right side
   35,196x = 2,622,464,100
5. Step 5: Solve for x
   x = 2,622,464,100/35,196
6. Step 6: Final answer
   x = 74,510.29