Finding the Third Proportional to 19,678.50 and 42,507

Step by Step Solution

1. Step 1: Write the proportion equation
   19,678.50 : 42,507 = 42,507 : x
2. Step 2: Convert to fraction form
   19,678.50/42,507 = 42,507/x
3. Step 3: Cross multiply
   19,678.50x = 42,507 × 42,507
4. Step 4: Simplify right side
   19,678.50x = 1,806,845,049
5. Step 5: Solve for x
   x = 1,806,845,049/19,678.50
6. Step 6: Final answer
   x = 91,818.23