Finding the Third Proportional to 35,528 and 52,140

Step by Step Solution

1. Step 1: Write the proportion equation
   35,528 : 52,140 = 52,140 : x
2. Step 2: Convert to fraction form
   35,528/52,140 = 52,140/x
3. Step 3: Cross multiply
   35,528x = 52,140 × 52,140
4. Step 4: Simplify right side
   35,528x = 2,718,579,600
5. Step 5: Solve for x
   x = 2,718,579,600/35,528
6. Step 6: Final answer
   x = 76,519.35