Finding the Third Proportional to 30,735 and 45,932.06

Step by Step Solution

1. Step 1: Write the proportion equation
   30,735 : 45,932.06 = 45,932.06 : x
2. Step 2: Convert to fraction form
   30,735/45,932.06 = 45,932.06/x
3. Step 3: Cross multiply
   30,735x = 45,932.06 × 45,932.06
4. Step 4: Simplify right side
   30,735x = 2,109,754,365.50
5. Step 5: Solve for x
   x = 2,109,754,365.50/30,735
6. Step 6: Final answer
   x = 68,643.38