Finding the Third Proportional to 29,611.31 and 64,758.38

Step by Step Solution

1. Step 1: Write the proportion equation
   29,611.31 : 64,758.38 = 64,758.38 : x
2. Step 2: Convert to fraction form
   29,611.31/64,758.38 = 64,758.38/x
3. Step 3: Cross multiply
   29,611.31x = 64,758.38 × 64,758.38
4. Step 4: Simplify right side
   29,611.31x = 4,193,647,132.64
5. Step 5: Solve for x
   x = 4,193,647,132.64/29,611.31
6. Step 6: Final answer
   x = 141,623.14