Finding the Third Proportional to 42,729 and 64,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,729 : 64,093.50 = 64,093.50 : x
2. Step 2: Convert to fraction form
   42,729/64,093.50 = 64,093.50/x
3. Step 3: Cross multiply
   42,729x = 64,093.50 × 64,093.50
4. Step 4: Simplify right side
   42,729x = 4,107,976,742.25
5. Step 5: Solve for x
   x = 4,107,976,742.25/42,729
6. Step 6: Final answer
   x = 96,140.25