Finding the Third Proportional to 37,056 and 81,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,056 : 81,139.50 = 81,139.50 : x
2. Step 2: Convert to fraction form
   37,056/81,139.50 = 81,139.50/x
3. Step 3: Cross multiply
   37,056x = 81,139.50 × 81,139.50
4. Step 4: Simplify right side
   37,056x = 6,583,618,460.25
5. Step 5: Solve for x
   x = 6,583,618,460.25/37,056
6. Step 6: Final answer
   x = 177,666.73