Finding the Third Proportional to 30,705.75 and 65,101.64

Step by Step Solution

1. Step 1: Write the proportion equation
   30,705.75 : 65,101.64 = 65,101.64 : x
2. Step 2: Convert to fraction form
   30,705.75/65,101.64 = 65,101.64/x
3. Step 3: Cross multiply
   30,705.75x = 65,101.64 × 65,101.64
4. Step 4: Simplify right side
   30,705.75x = 4,238,223,612.07
5. Step 5: Solve for x
   x = 4,238,223,612.07/30,705.75
6. Step 6: Final answer
   x = 138,027.03