Finding the Third Proportional to 42,586 and 64,470

Step by Step Solution

1. Step 1: Write the proportion equation
   42,586 : 64,470 = 64,470 : x
2. Step 2: Convert to fraction form
   42,586/64,470 = 64,470/x
3. Step 3: Cross multiply
   42,586x = 64,470 × 64,470
4. Step 4: Simplify right side
   42,586x = 4,156,380,900
5. Step 5: Solve for x
   x = 4,156,380,900/42,586
6. Step 6: Final answer
   x = 97,599.70