Finding the Third Proportional to 42,904.50 and 65,633.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,904.50 : 65,633.25 = 65,633.25 : x
2. Step 2: Convert to fraction form
   42,904.50/65,633.25 = 65,633.25/x
3. Step 3: Cross multiply
   42,904.50x = 65,633.25 × 65,633.25
4. Step 4: Simplify right side
   42,904.50x = 4,307,723,505.56
5. Step 5: Solve for x
   x = 4,307,723,505.56/42,904.50
6. Step 6: Final answer
   x = 100,402.60