Finding the Third Proportional to 37,663 and 55,342

Step by Step Solution

1. Step 1: Write the proportion equation
   37,663 : 55,342 = 55,342 : x
2. Step 2: Convert to fraction form
   37,663/55,342 = 55,342/x
3. Step 3: Cross multiply
   37,663x = 55,342 × 55,342
4. Step 4: Simplify right side
   37,663x = 3,062,736,964
5. Step 5: Solve for x
   x = 3,062,736,964/37,663
6. Step 6: Final answer
   x = 81,319.52