Finding the Third Proportional to 42,376.50 and 83,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,376.50 : 83,689.50 = 83,689.50 : x
2. Step 2: Convert to fraction form
   42,376.50/83,689.50 = 83,689.50/x
3. Step 3: Cross multiply
   42,376.50x = 83,689.50 × 83,689.50
4. Step 4: Simplify right side
   42,376.50x = 7,003,932,410.25
5. Step 5: Solve for x
   x = 7,003,932,410.25/42,376.50
6. Step 6: Final answer
   x = 165,278.69