Finding the Third Proportional to 37,732 and 78,565

Step by Step Solution

1. Step 1: Write the proportion equation
   37,732 : 78,565 = 78,565 : x
2. Step 2: Convert to fraction form
   37,732/78,565 = 78,565/x
3. Step 3: Cross multiply
   37,732x = 78,565 × 78,565
4. Step 4: Simplify right side
   37,732x = 6,172,459,225
5. Step 5: Solve for x
   x = 6,172,459,225/37,732
6. Step 6: Final answer
   x = 163,586.86