Finding the Third Proportional to 37,494 and 81,550

Step by Step Solution

1. Step 1: Write the proportion equation
   37,494 : 81,550 = 81,550 : x
2. Step 2: Convert to fraction form
   37,494/81,550 = 81,550/x
3. Step 3: Cross multiply
   37,494x = 81,550 × 81,550
4. Step 4: Simplify right side
   37,494x = 6,650,402,500
5. Step 5: Solve for x
   x = 6,650,402,500/37,494
6. Step 6: Final answer
   x = 177,372.45