Finding the Third Proportional to 37,188 and 81,210

Step by Step Solution

1. Step 1: Write the proportion equation
   37,188 : 81,210 = 81,210 : x
2. Step 2: Convert to fraction form
   37,188/81,210 = 81,210/x
3. Step 3: Cross multiply
   37,188x = 81,210 × 81,210
4. Step 4: Simplify right side
   37,188x = 6,595,064,100
5. Step 5: Solve for x
   x = 6,595,064,100/37,188
6. Step 6: Final answer
   x = 177,343.88