Finding the Third Proportional to 34,968.38 and 53,780.06

Step by Step Solution

1. Step 1: Write the proportion equation
   34,968.38 : 53,780.06 = 53,780.06 : x
2. Step 2: Convert to fraction form
   34,968.38/53,780.06 = 53,780.06/x
3. Step 3: Cross multiply
   34,968.38x = 53,780.06 × 53,780.06
4. Step 4: Simplify right side
   34,968.38x = 2,892,295,122.50
5. Step 5: Solve for x
   x = 2,892,295,122.50/34,968.38
6. Step 6: Final answer
   x = 82,711.74