Finding the Third Proportional to 35,776.50 and 56,643

Step by Step Solution

1. Step 1: Write the proportion equation
   35,776.50 : 56,643 = 56,643 : x
2. Step 2: Convert to fraction form
   35,776.50/56,643 = 56,643/x
3. Step 3: Cross multiply
   35,776.50x = 56,643 × 56,643
4. Step 4: Simplify right side
   35,776.50x = 3,208,429,449
5. Step 5: Solve for x
   x = 3,208,429,449/35,776.50
6. Step 6: Final answer
   x = 89,679.80