Finding the Third Proportional to 17,566.50 and 37,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,566.50 : 37,612.50 = 37,612.50 : x
2. Step 2: Convert to fraction form
   17,566.50/37,612.50 = 37,612.50/x
3. Step 3: Cross multiply
   17,566.50x = 37,612.50 × 37,612.50
4. Step 4: Simplify right side
   17,566.50x = 1,414,700,156.25
5. Step 5: Solve for x
   x = 1,414,700,156.25/17,566.50
6. Step 6: Final answer
   x = 80,533.98