Finding the Third Proportional to 37,632 and 81,141

Step by Step Solution

1. Step 1: Write the proportion equation
   37,632 : 81,141 = 81,141 : x
2. Step 2: Convert to fraction form
   37,632/81,141 = 81,141/x
3. Step 3: Cross multiply
   37,632x = 81,141 × 81,141
4. Step 4: Simplify right side
   37,632x = 6,583,861,881
5. Step 5: Solve for x
   x = 6,583,861,881/37,632
6. Step 6: Final answer
   x = 174,953.81