Finding the Third Proportional to 42,758 and 62,565

Step by Step Solution

1. Step 1: Write the proportion equation
   42,758 : 62,565 = 62,565 : x
2. Step 2: Convert to fraction form
   42,758/62,565 = 62,565/x
3. Step 3: Cross multiply
   42,758x = 62,565 × 62,565
4. Step 4: Simplify right side
   42,758x = 3,914,379,225
5. Step 5: Solve for x
   x = 3,914,379,225/42,758
6. Step 6: Final answer
   x = 91,547.29