Finding the Third Proportional to 29,678.63 and 64,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,678.63 : 64,039.50 = 64,039.50 : x
2. Step 2: Convert to fraction form
   29,678.63/64,039.50 = 64,039.50/x
3. Step 3: Cross multiply
   29,678.63x = 64,039.50 × 64,039.50
4. Step 4: Simplify right side
   29,678.63x = 4,101,057,560.25
5. Step 5: Solve for x
   x = 4,101,057,560.25/29,678.63
6. Step 6: Final answer
   x = 138,182.20