Finding the Third Proportional to 42,363.50 and 83,663.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,363.50 : 83,663.75 = 83,663.75 : x
2. Step 2: Convert to fraction form
   42,363.50/83,663.75 = 83,663.75/x
3. Step 3: Cross multiply
   42,363.50x = 83,663.75 × 83,663.75
4. Step 4: Simplify right side
   42,363.50x = 6,999,623,064.06
5. Step 5: Solve for x
   x = 6,999,623,064.06/42,363.50
6. Step 6: Final answer
   x = 165,227.69