Finding the Third Proportional to 37,560 and 87,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,560 : 87,784.50 = 87,784.50 : x
2. Step 2: Convert to fraction form
   37,560/87,784.50 = 87,784.50/x
3. Step 3: Cross multiply
   37,560x = 87,784.50 × 87,784.50
4. Step 4: Simplify right side
   37,560x = 7,706,118,440.25
5. Step 5: Solve for x
   x = 7,706,118,440.25/37,560
6. Step 6: Final answer
   x = 205,168.22