Finding the Third Proportional to 42,852 and 64,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,852 : 64,024.50 = 64,024.50 : x
2. Step 2: Convert to fraction form
   42,852/64,024.50 = 64,024.50/x
3. Step 3: Cross multiply
   42,852x = 64,024.50 × 64,024.50
4. Step 4: Simplify right side
   42,852x = 4,099,136,600.25
5. Step 5: Solve for x
   x = 4,099,136,600.25/42,852
6. Step 6: Final answer
   x = 95,658.00