Finding the Third Proportional to 35,784 and 52,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,784 : 52,581.50 = 52,581.50 : x
2. Step 2: Convert to fraction form
   35,784/52,581.50 = 52,581.50/x
3. Step 3: Cross multiply
   35,784x = 52,581.50 × 52,581.50
4. Step 4: Simplify right side
   35,784x = 2,764,814,142.25
5. Step 5: Solve for x
   x = 2,764,814,142.25/35,784
6. Step 6: Final answer
   x = 77,263.98