Finding the Third Proportional to 29,585.25 and 64,901.25

Step by Step Solution

1. Step 1: Write the proportion equation
   29,585.25 : 64,901.25 = 64,901.25 : x
2. Step 2: Convert to fraction form
   29,585.25/64,901.25 = 64,901.25/x
3. Step 3: Cross multiply
   29,585.25x = 64,901.25 × 64,901.25
4. Step 4: Simplify right side
   29,585.25x = 4,212,172,251.56
5. Step 5: Solve for x
   x = 4,212,172,251.56/29,585.25
6. Step 6: Final answer
   x = 142,374.06