Finding the Third Proportional to 45,977.63 and 61,786.55

Step by Step Solution

1. Step 1: Write the proportion equation
   45,977.63 : 61,786.55 = 61,786.55 : x
2. Step 2: Convert to fraction form
   45,977.63/61,786.55 = 61,786.55/x
3. Step 3: Cross multiply
   45,977.63x = 61,786.55 × 61,786.55
4. Step 4: Simplify right side
   45,977.63x = 3,817,577,374.74
5. Step 5: Solve for x
   x = 3,817,577,374.74/45,977.63
6. Step 6: Final answer
   x = 83,031.20