Finding the Third Proportional to 37,656.63 and 81,149.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,656.63 : 81,149.75 = 81,149.75 : x
2. Step 2: Convert to fraction form
   37,656.63/81,149.75 = 81,149.75/x
3. Step 3: Cross multiply
   37,656.63x = 81,149.75 × 81,149.75
4. Step 4: Simplify right side
   37,656.63x = 6,585,281,925.06
5. Step 5: Solve for x
   x = 6,585,281,925.06/37,656.63
6. Step 6: Final answer
   x = 174,877.11