Finding the Third Proportional to 35,783.50 and 52,581

Step by Step Solution

1. Step 1: Write the proportion equation
   35,783.50 : 52,581 = 52,581 : x
2. Step 2: Convert to fraction form
   35,783.50/52,581 = 52,581/x
3. Step 3: Cross multiply
   35,783.50x = 52,581 × 52,581
4. Step 4: Simplify right side
   35,783.50x = 2,764,761,561
5. Step 5: Solve for x
   x = 2,764,761,561/35,783.50
6. Step 6: Final answer
   x = 77,263.59