Finding the Third Proportional to 42,427.13 and 83,783.63

Step by Step Solution

1. Step 1: Write the proportion equation
   42,427.13 : 83,783.63 = 83,783.63 : x
2. Step 2: Convert to fraction form
   42,427.13/83,783.63 = 83,783.63/x
3. Step 3: Cross multiply
   42,427.13x = 83,783.63 × 83,783.63
4. Step 4: Simplify right side
   42,427.13x = 7,019,695,818.14
5. Step 5: Solve for x
   x = 7,019,695,818.14/42,427.13
6. Step 6: Final answer
   x = 165,453.02