Finding the Third Proportional to 29,776 and 65,088

Step by Step Solution

1. Step 1: Write the proportion equation
   29,776 : 65,088 = 65,088 : x
2. Step 2: Convert to fraction form
   29,776/65,088 = 65,088/x
3. Step 3: Cross multiply
   29,776x = 65,088 × 65,088
4. Step 4: Simplify right side
   29,776x = 4,236,447,744
5. Step 5: Solve for x
   x = 4,236,447,744/29,776
6. Step 6: Final answer
   x = 142,277.26