Finding the Third Proportional to 27,812 and 59,581

Step by Step Solution

1. Step 1: Write the proportion equation
   27,812 : 59,581 = 59,581 : x
2. Step 2: Convert to fraction form
   27,812/59,581 = 59,581/x
3. Step 3: Cross multiply
   27,812x = 59,581 × 59,581
4. Step 4: Simplify right side
   27,812x = 3,549,895,561
5. Step 5: Solve for x
   x = 3,549,895,561/27,812
6. Step 6: Final answer
   x = 127,638.99