Finding the Third Proportional to 29,676.38 and 64,820.25

Step by Step Solution

1. Step 1: Write the proportion equation
   29,676.38 : 64,820.25 = 64,820.25 : x
2. Step 2: Convert to fraction form
   29,676.38/64,820.25 = 64,820.25/x
3. Step 3: Cross multiply
   29,676.38x = 64,820.25 × 64,820.25
4. Step 4: Simplify right side
   29,676.38x = 4,201,664,810.06
5. Step 5: Solve for x
   x = 4,201,664,810.06/29,676.38
6. Step 6: Final answer
   x = 141,582.82