Finding the Third Proportional to 29,624.25 and 64,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,624.25 : 64,168.50 = 64,168.50 : x
2. Step 2: Convert to fraction form
   29,624.25/64,168.50 = 64,168.50/x
3. Step 3: Cross multiply
   29,624.25x = 64,168.50 × 64,168.50
4. Step 4: Simplify right side
   29,624.25x = 4,117,596,392.25
5. Step 5: Solve for x
   x = 4,117,596,392.25/29,624.25
6. Step 6: Final answer
   x = 138,994.11