Finding the Third Proportional to 34,788 and 52,670

Step by Step Solution

1. Step 1: Write the proportion equation
   34,788 : 52,670 = 52,670 : x
2. Step 2: Convert to fraction form
   34,788/52,670 = 52,670/x
3. Step 3: Cross multiply
   34,788x = 52,670 × 52,670
4. Step 4: Simplify right side
   34,788x = 2,774,128,900
5. Step 5: Solve for x
   x = 2,774,128,900/34,788
6. Step 6: Final answer
   x = 79,743.85