Finding the Third Proportional to 37,755 and 55,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,755 : 55,534.50 = 55,534.50 : x
2. Step 2: Convert to fraction form
   37,755/55,534.50 = 55,534.50/x
3. Step 3: Cross multiply
   37,755x = 55,534.50 × 55,534.50
4. Step 4: Simplify right side
   37,755x = 3,084,080,690.25
5. Step 5: Solve for x
   x = 3,084,080,690.25/37,755
6. Step 6: Final answer
   x = 81,686.68