Finding the Third Proportional to 42,570 and 64,447

Step by Step Solution

1. Step 1: Write the proportion equation
   42,570 : 64,447 = 64,447 : x
2. Step 2: Convert to fraction form
   42,570/64,447 = 64,447/x
3. Step 3: Cross multiply
   42,570x = 64,447 × 64,447
4. Step 4: Simplify right side
   42,570x = 4,153,415,809
5. Step 5: Solve for x
   x = 4,153,415,809/42,570
6. Step 6: Final answer
   x = 97,566.73