Finding the Third Proportional to 42,642 and 64,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,642 : 64,003.50 = 64,003.50 : x
2. Step 2: Convert to fraction form
   42,642/64,003.50 = 64,003.50/x
3. Step 3: Cross multiply
   42,642x = 64,003.50 × 64,003.50
4. Step 4: Simplify right side
   42,642x = 4,096,448,012.25
5. Step 5: Solve for x
   x = 4,096,448,012.25/42,642
6. Step 6: Final answer
   x = 96,066.04