Finding the Third Proportional to 37,784.25 and 56,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,784.25 : 56,146.50 = 56,146.50 : x
2. Step 2: Convert to fraction form
   37,784.25/56,146.50 = 56,146.50/x
3. Step 3: Cross multiply
   37,784.25x = 56,146.50 × 56,146.50
4. Step 4: Simplify right side
   37,784.25x = 3,152,429,462.25
5. Step 5: Solve for x
   x = 3,152,429,462.25/37,784.25
6. Step 6: Final answer
   x = 83,432.37