Finding the Third Proportional to 42,904 and 65,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,904 : 65,632.50 = 65,632.50 : x
2. Step 2: Convert to fraction form
   42,904/65,632.50 = 65,632.50/x
3. Step 3: Cross multiply
   42,904x = 65,632.50 × 65,632.50
4. Step 4: Simplify right side
   42,904x = 4,307,625,056.25
5. Step 5: Solve for x
   x = 4,307,625,056.25/42,904
6. Step 6: Final answer
   x = 100,401.48