Finding the Third Proportional to 37,052.50 and 81,132.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,052.50 : 81,132.50 = 81,132.50 : x
2. Step 2: Convert to fraction form
   37,052.50/81,132.50 = 81,132.50/x
3. Step 3: Cross multiply
   37,052.50x = 81,132.50 × 81,132.50
4. Step 4: Simplify right side
   37,052.50x = 6,582,482,556.25
5. Step 5: Solve for x
   x = 6,582,482,556.25/37,052.50
6. Step 6: Final answer
   x = 177,652.86