Finding the Third Proportional to 37,650 and 81,859.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,650 : 81,859.50 = 81,859.50 : x
2. Step 2: Convert to fraction form
   37,650/81,859.50 = 81,859.50/x
3. Step 3: Cross multiply
   37,650x = 81,859.50 × 81,859.50
4. Step 4: Simplify right side
   37,650x = 6,700,977,740.25
5. Step 5: Solve for x
   x = 6,700,977,740.25/37,650
6. Step 6: Final answer
   x = 177,980.82