Finding the Third Proportional to 37,650 and 58,261.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,650 : 58,261.50 = 58,261.50 : x
2. Step 2: Convert to fraction form
   37,650/58,261.50 = 58,261.50/x
3. Step 3: Cross multiply
   37,650x = 58,261.50 × 58,261.50
4. Step 4: Simplify right side
   37,650x = 3,394,402,382.25
5. Step 5: Solve for x
   x = 3,394,402,382.25/37,650
6. Step 6: Final answer
   x = 90,156.77