Finding the Third Proportional to 34,020 and 74,752.88

Step by Step Solution

1. Step 1: Write the proportion equation
   34,020 : 74,752.88 = 74,752.88 : x
2. Step 2: Convert to fraction form
   34,020/74,752.88 = 74,752.88/x
3. Step 3: Cross multiply
   34,020x = 74,752.88 × 74,752.88
4. Step 4: Simplify right side
   34,020x = 5,587,992,320.77
5. Step 5: Solve for x
   x = 5,587,992,320.77/34,020
6. Step 6: Final answer
   x = 164,256.09