Finding the Third Proportional to 42,624.50 and 64,529.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,624.50 : 64,529.50 = 64,529.50 : x
2. Step 2: Convert to fraction form
   42,624.50/64,529.50 = 64,529.50/x
3. Step 3: Cross multiply
   42,624.50x = 64,529.50 × 64,529.50
4. Step 4: Simplify right side
   42,624.50x = 4,164,056,370.25
5. Step 5: Solve for x
   x = 4,164,056,370.25/42,624.50
6. Step 6: Final answer
   x = 97,691.62