Finding the Third Proportional to 29,549.81 and 64,015.31

Step by Step Solution

1. Step 1: Write the proportion equation
   29,549.81 : 64,015.31 = 64,015.31 : x
2. Step 2: Convert to fraction form
   29,549.81/64,015.31 = 64,015.31/x
3. Step 3: Cross multiply
   29,549.81x = 64,015.31 × 64,015.31
4. Step 4: Simplify right side
   29,549.81x = 4,097,960,234.47
5. Step 5: Solve for x
   x = 4,097,960,234.47/29,549.81
6. Step 6: Final answer
   x = 138,679.74