Finding the Third Proportional to 56,493 and 74,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,493 : 74,965.50 = 74,965.50 : x
2. Step 2: Convert to fraction form
   56,493/74,965.50 = 74,965.50/x
3. Step 3: Cross multiply
   56,493x = 74,965.50 × 74,965.50
4. Step 4: Simplify right side
   56,493x = 5,619,826,190.25
5. Step 5: Solve for x
   x = 5,619,826,190.25/56,493
6. Step 6: Final answer
   x = 99,478.28