Finding the Third Proportional to 36,977.34 and 55,402.31

Step by Step Solution

1. Step 1: Write the proportion equation
   36,977.34 : 55,402.31 = 55,402.31 : x
2. Step 2: Convert to fraction form
   36,977.34/55,402.31 = 55,402.31/x
3. Step 3: Cross multiply
   36,977.34x = 55,402.31 × 55,402.31
4. Step 4: Simplify right side
   36,977.34x = 3,069,416,230.35
5. Step 5: Solve for x
   x = 3,069,416,230.35/36,977.34
6. Step 6: Final answer
   x = 83,008.02