Finding the Third Proportional to 4,997.64 and 7,784.78

Step by Step Solution

1. Step 1: Write the proportion equation
   4,997.64 : 7,784.78 = 7,784.78 : x
2. Step 2: Convert to fraction form
   4,997.64/7,784.78 = 7,784.78/x
3. Step 3: Cross multiply
   4,997.64x = 7,784.78 × 7,784.78
4. Step 4: Simplify right side
   4,997.64x = 60,602,803.91
5. Step 5: Solve for x
   x = 60,602,803.91/4,997.64
6. Step 6: Final answer
   x = 12,126.29