Finding the Third Proportional to 30,510 and 65,697.75

Step by Step Solution

1. Step 1: Write the proportion equation
   30,510 : 65,697.75 = 65,697.75 : x
2. Step 2: Convert to fraction form
   30,510/65,697.75 = 65,697.75/x
3. Step 3: Cross multiply
   30,510x = 65,697.75 × 65,697.75
4. Step 4: Simplify right side
   30,510x = 4,316,194,355.06
5. Step 5: Solve for x
   x = 4,316,194,355.06/30,510
6. Step 6: Final answer
   x = 141,468.19