Finding the Third Proportional to 42,666 and 64,587

Step by Step Solution

1. Step 1: Write the proportion equation
   42,666 : 64,587 = 64,587 : x
2. Step 2: Convert to fraction form
   42,666/64,587 = 64,587/x
3. Step 3: Cross multiply
   42,666x = 64,587 × 64,587
4. Step 4: Simplify right side
   42,666x = 4,171,480,569
5. Step 5: Solve for x
   x = 4,171,480,569/42,666
6. Step 6: Final answer
   x = 97,770.60