Finding the Third Proportional to 42,931.50 and 65,678.63

Step by Step Solution

1. Step 1: Write the proportion equation
   42,931.50 : 65,678.63 = 65,678.63 : x
2. Step 2: Convert to fraction form
   42,931.50/65,678.63 = 65,678.63/x
3. Step 3: Cross multiply
   42,931.50x = 65,678.63 × 65,678.63
4. Step 4: Simplify right side
   42,931.50x = 4,313,681,781.89
5. Step 5: Solve for x
   x = 4,313,681,781.89/42,931.50
6. Step 6: Final answer
   x = 100,478.25