Finding the Third Proportional to 42,600 and 65,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,600 : 65,893.50 = 65,893.50 : x
2. Step 2: Convert to fraction form
   42,600/65,893.50 = 65,893.50/x
3. Step 3: Cross multiply
   42,600x = 65,893.50 × 65,893.50
4. Step 4: Simplify right side
   42,600x = 4,341,953,342.25
5. Step 5: Solve for x
   x = 4,341,953,342.25/42,600
6. Step 6: Final answer
   x = 101,923.79