Finding the Third Proportional to 29,892.75 and 64,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,892.75 : 64,078.50 = 64,078.50 : x
2. Step 2: Convert to fraction form
   29,892.75/64,078.50 = 64,078.50/x
3. Step 3: Cross multiply
   29,892.75x = 64,078.50 × 64,078.50
4. Step 4: Simplify right side
   29,892.75x = 4,106,054,162.25
5. Step 5: Solve for x
   x = 4,106,054,162.25/29,892.75
6. Step 6: Final answer
   x = 137,359.53