Finding the Third Proportional to 42,669 and 64,590

Step by Step Solution

1. Step 1: Write the proportion equation
   42,669 : 64,590 = 64,590 : x
2. Step 2: Convert to fraction form
   42,669/64,590 = 64,590/x
3. Step 3: Cross multiply
   42,669x = 64,590 × 64,590
4. Step 4: Simplify right side
   42,669x = 4,171,868,100
5. Step 5: Solve for x
   x = 4,171,868,100/42,669
6. Step 6: Final answer
   x = 97,772.81