Finding the Third Proportional to 37,519 and 88,565

Step by Step Solution

1. Step 1: Write the proportion equation
   37,519 : 88,565 = 88,565 : x
2. Step 2: Convert to fraction form
   37,519/88,565 = 88,565/x
3. Step 3: Cross multiply
   37,519x = 88,565 × 88,565
4. Step 4: Simplify right side
   37,519x = 7,843,759,225
5. Step 5: Solve for x
   x = 7,843,759,225/37,519
6. Step 6: Final answer
   x = 209,060.99