Finding the Third Proportional to 37,777.50 and 59,784.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,777.50 : 59,784.75 = 59,784.75 : x
2. Step 2: Convert to fraction form
   37,777.50/59,784.75 = 59,784.75/x
3. Step 3: Cross multiply
   37,777.50x = 59,784.75 × 59,784.75
4. Step 4: Simplify right side
   37,777.50x = 3,574,216,332.56
5. Step 5: Solve for x
   x = 3,574,216,332.56/37,777.50
6. Step 6: Final answer
   x = 94,612.30