Finding the Third Proportional to 42,538.50 and 91,580.63

Step by Step Solution

1. Step 1: Write the proportion equation
   42,538.50 : 91,580.63 = 91,580.63 : x
2. Step 2: Convert to fraction form
   42,538.50/91,580.63 = 91,580.63/x
3. Step 3: Cross multiply
   42,538.50x = 91,580.63 × 91,580.63
4. Step 4: Simplify right side
   42,538.50x = 8,387,010,875.39
5. Step 5: Solve for x
   x = 8,387,010,875.39/42,538.50
6. Step 6: Final answer
   x = 197,162.83